Question

Please help! (100 points)

Answer the following questions and show all of your calculations:

(a) What is the exact volume of a cylinder with a height of 10 inches and a radius of 4 inches

V= tt r^2 h

V= r^2 h tt

V= r x r x h tt

(b) What is the approximate volume of a cylinder with a height of 10 inches and a radius of 4 inches?
(hint: plug in your answer from above and multiply by 3.14)

V= _______ x 3.14

Answer 1

Answer:

A.)  V = 160π

B.)  V = 502.4 inches^3

Step-by-step explanation:

Part A:

Formula for the volume of a cylinder:  V = π * r^2 * h

r^2 can be broken into r * r

π can be represent by 3.14

It is the same as:  V = r * r * h * 3.14

V = 4 * 4 * 10 * π

V = 160π

Answer:  V = 160π

Part B:  

Step 1:  Plug in

V = 4 * 4 * 10 * 3.14

V = 16 * 31.4

V = 502.4 inches^3

Answer:  V = 502.4 inches^3

Answer 2

Answer:

a) 160pi in³

b) 502.4 in³

Step-by-step explanation:

a) 4 × 4 × 10 × pi = 160 pi in³

b) 4 × 4 × 10 × 3.14

= 502.4 in³