A bottle of perfume is spherical with a diameter of 36 mm.
Calculate the capacity of the bottle, in mL.

A Bottle Of Perfume Is Spherical With A Diameter Of 36 Mm.Calculate The Capacity Of The Bottle, In ML.

Answers

Answer 1

24.4 mL

By converting mm to cm, we get

1 mm = 1/10 cm

18 mm = 18/10 cm

radius (r) = 1.8 cm

To find the volume,

Volume of sphere = 4/3πr3

= 4/3π(1.8)3

Volume = 24.4 cm3

To find the capacity,

1 cm3 = 1 mL

Capacity = 24.4 mL


Related Questions

A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?

Answers

Answer:

4 red marbles

Step-by-step explanation:

green marbles = 9r

red marbles = r

9r + r = 40

10r = 40

r = 4 = red marbles

12 points
Will mark brainliest to who ever answers first

Answers

Answer:

80 pounds

Step-by-step explanation:

From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from the base of the cliff is the ship? Please help

Answers

Answer:

9470m above the sea level.

Step-by-step explanation:

A survey of high school juniors found the 75% of the students plan on attending college. If you pick 3 students at random, what is the probability that at least two plan on attending college? Round to the nearest percentage.

Answers

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

Probability

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

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PLEASE SOLVE PRETTY URGENT

Answers

If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.

In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.

The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:

[tex]\frac{1}{4} =\frac{8}{x}[/tex]

To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:

[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]

That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.

what type of sequence is 99,33,3,1

Answers

Answer:

36 ,36 30,2

Step-by-step explanation:

hope it's okay to you

Ethan ran 11 miles in 2 hours What is the constent of proporttional of miles to a hour

Answers

Answer:

5.5 miles

Step-by-step explanation:

If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles

Need step by step explanation please.

Answers

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

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How long is the arc intersected by a central angle of startfraction pi over 3 endfraction radians in a circle with a radius of 6 ft? round your answer to the nearest tenth. use 3.14 for pi. 1.0 ft 5.7 ft 6.3 ft 7.0 ft

Answers

The length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

How to find the relation between angle subtended by the arc, the radius and the arc length?

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

For this case, we have:

Radius of the circle = r = 6  ftAngle subtended by the considered arc of the circle on its center = [tex]\theta^c = \dfrac{\pi}{3}^c[/tex]

Thus, if we take:

Length of the arc = L feet, then:

[tex]L =r \times \theta = 6 \times \dfrac{\pi}{3} = 2\pi \: \rm ft \approx 6.28 \approx 6.3 \: ft[/tex]

Thus, the length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

Learn more about arc length here:

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Answer:

c

Step-by-step explanation:

i did it and got it right

When two lines intersect, are all the angles formed equal?

Answers

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.

What are intersecting lines?

The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.

When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.

If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.

If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.

The pair of corresponding angles always lies on the same side of a transversal.

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(PLS help I’ll give brainliest to whoever can answer right nobody has been able to. )

A company makes piñatas for special events such as birthday parties. One of their piñatas is in the form of a cone-shaped hat. How much space do they have inside the piñata for candy if the piñata is 2 feet tall and 1.5 feet wide? Round to the nearest hundredth.

Answers

Volume of a cone = 3.14 x 0.75^2 x 2/3
= 3.14 x 0.5625 x 2/3
= 1.76625 x 2/3
= 1.1775 = 1.18 feet^3

Are the base angles of an isosceles triangle always congruent?

Answers

Answer: Yes

Step-by-step explanation:

If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent  by CPCTC.

Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

What is the isosceles triangle?

An isosceles triangle is a triangle that has at least two sides of equal length.

When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.

An isosceles triangle with only two congruent sides, the congruent sides are called legs. The third side is called the base.

The angle opposite the base is called the vertex angle, and the angles opposite the legs are called base angles.

Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

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What do I have to major in to become an astronomer and approximately how long would I have to stay in college?

Answers

something like physics, you want to not have such a specific major because you can always change your mind later on. It might take around 10ish years, but that is a rough estimate.

Find the volume of the prism.

Answers

Answer:

210 cm^3

Step-by-step explanation:

To find the volume of a regular we use the following formula:

l*w*h (l: length, w: width, h: height)

6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3

Can someone please help me

Answers

Answer:

Hence corre ctophon is (A)

If square root 6 is the geometric mean between 4 and another number, then the number is?

Answers

Answer:

The answer is 1.5

pls give brainliest ily<3

I need help please. Find the volume of the composite solid.

Answers

Answer: 150 cubic feet

Step-by-step explanation:

Formula: area of base x height (length x width x height)

Volume of small rectangle: 5 x 2 x 3 = 30

Volume of large rectangle: 10 x 6 x 2 = 120

Add them together: 120 + 30 = 150

Find the simple interest earned to the nearest cent for each principal, interest rate, and time 1,050, 4.6%, two years

Answers

Answer:

The interest earned is $96.60

Step-by-step explanation:

Since we are working the a simple interest problem, we will use the formula

[tex]I=Prt[/tex],

Where P represents the principal, r represents the rate as a decimal, and t represents the time in years. First, we need to change the 4.6% into a decimal by dividing by 100:

[tex]4.6\div 100 = 0.046[/tex]

From our given information and our decimal rate, we have:

[tex]P=1050\\r=0.046\\t=2[/tex]

Substituting these into our equation, we get:

[tex]I=1050(0.046)(2)\\I=96.6[/tex]

We write that as $96.60 in context of the problem.

Answer:

principle (p)=RS 1,050

Rate(R)=4.6

time(T)=2years

we know that

I=P×R×I/100

=1050×4.6×2/100

=9660/100

=96.6

therefore the earned simple interest is RS.96.6

Which expression is equivalent to 9 ( w + 8)?
72 w
9 w + 72
9 w + 8
17 w

Answers

A. 8 plus w is 8w times 8 is 72w

Answer:

A) 72w

Step-by-step explanation:

this is due tomorrow at 8 pls help

Answers

Answer:

a = 4 b = 2 c = 6

Step-by-step explanation:

4 + b = c

b & c are any even numbers between 2 and 9 (2, 4, 6, 8)

c > 4 ( 6, 8)

b < 6 (2, 4)

b can't be the same number, so b is 4 meaning c is 6

Answer:

b=2, c=6

Step-by-step explanation:

A tower that is 166 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun to the
nearest degree.

Answers

Answer:

The angle is approximately [tex]45^\circ[/tex].

Step-by-step explanation:

We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.

Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:

[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]

In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:

[tex]\tan{\theta}=\frac{166}{167}[/tex]

To get the angle, we need to use inverse tangent:

[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]

The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.

how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute

Answers

The answer to this question is 8.3L as you divide 100 by 12

Is the length of the hypotenuse of a right triangle with legs that mea-
sure 5 cm and 6 cm a rational number or an irrational number? Justify
your answer. Answer in complete sentences and indude all relevant calculations

Answers

Answer:
Irrational Number

Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.

Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.

5² + 6² = 25 + 36 = 61

And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.

Which number is a rational?

Answers

Answer:

0/5 = 0

0/200 = 0

0/ (-25) = 0

Step-by-step explanation: I am sure this is it because these are rational numbers

i Want to ask about linear equation​

Answers

Answer:

what do you want to know about linear equation?

In ΔSTU, the measure of ∠U=90°, SU = 36, UT = 77, and TS = 85. What ratio represents the secant of ∠T?

Answers

Answer:

I think Angle T is 36 degree

I think it will help you

United States farms produced 2,460,000,000 bushels of soybeans
in 1994. How many quarts is this? (A bushel is 32 quarts.)
Pls u need this now

Answers

Answer: 78,720,000,000 quarts.

Step-by-step explanation:

32 x 2460000000 = 78,720,000,000

You buy 10 pounds of bird seed at store A for $11.50.Your friend buys 15 pounds of bird seed at Store B for $19.50.How much less would u sped by buying 20 pounds of bird seed at the store with the better deal?

Answers

Answer:

$3

Step-by-step explanation:

You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.

15 pounds of bird seeds store B for $19.50 is $1.30 per pound.

At store A = 20 * $1.15 = $23

At store B = 20 * $1.30 = $26

So, 26 - 23 = 3

Answer:

You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Step-by-step explanation:

Given:

You can buy 10 pounds of birdseed at Store A for $11.50

10 pounds – $11.50

[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]

1 pound – $1.15

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.15 = $23

20 pounds = $23

Your friend buys 15 pounds of birdseed at Store B for $19.50

15 pounds – $19.50

[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]

1 pound – $1.3

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.3 = $26

20 pounds = $26

Now we compare each stores value for 20 pounds of bird seeds:

$23 < $26

The store with the better deal is: Store A

So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

What is the value of w?
w
36°

Answers

Answer: you literally said it yourself. its 36°

Step-by-step explanation:

It’s 36° due to the vertical angles theorem

Is πxy=4 a linear equation?

Answers

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

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