a. The circumference of the base of a cylinder is 82.37cm and its height is 21.20 cm. Find the curved surface area the volume of a cylinder b. Draw a table for multiplication, in modulo base 7 on the set X =357​

Answers

Answer 1

According to the information, the curved surface area of the cylinder is 1750.34 cm^2 and its volume is 11683.49 cm^3.

How to find the curved surface area and volumen of a cylinder?

a. To find the curved surface area and volume of a cylinder, we use the formulas:

Curved surface area = 2πrh

Volume = πr^2h

Given, circumference of the base = 82.37 cm

Circumference of a circle = 2πr

Therefore, 2πr = 82.37

r = 82.37 / (2π) = 13.12 cm

Height, h = 21.20 cm

Curved surface area = 2πrh

= 2π x 13.12 x 21.20

= 1750.34 cm^2

Volume = πr^2h

= π x 13.12^2 x 21.20

= 11683.49 cm^3

Therefore, the curved surface area of the cylinder is 1750.34 cm^2 and its volume is 11683.49 cm^3.

b. Table for multiplication in modulo base 7 on the set X = {3, 5, 7}:

X 3 5 7

3 2 1 6

5 1 4 6

7 0 0 0

To fill in the table, we multiply each element in X with every other element in X, and take the result modulo 7. For example, 3 x 3 = 9, and 9 modulo 7 is 2, so we fill in 2 in the first row and first column. Similarly, 3 x 5 = 15, and 15 modulo 7 is 1, so we fill in 1 in the first row and second column, and so on.

Learn more about cylinders in: https://brainly.com/question/16134180

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