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

Answer:

a) 235.62in³

b) 904.78in³

Step-by-step 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:

$V = \frac{4}{3}\pi r^3$

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:

$V = \frac{4}{3}\pi (6)^3 = 904.78in^3$