Question

Calculate the volume of each geometric shape:

a) cylinder with radius of 5 inches and height of 3 inches.
b) sphere with diameter of 12 inches.

Answer 1

a) 235.62in³

b) 904.78in³

Explanation:

a) The formula to find the volume of a cylinder is:

`V = \pi r^2h`

We are given that r = 5 and h = 3, so we can just plug in and solve:

`V = \pi(5)^2(3) = 235.62in^3`

b) The formula to find the volume of a sphere is:

`V = (4)/(3)\pi r^3`

We are given that the diameter is 12in, which means that the radius (r) must be 6in (half the diameter). Now, we can plug in and solve:

`V = (4)/(3)\pi (6)^3 = 904.78in^3`