Find the Volume of the Cone

Question

Find the volume of a cone with a base radius of 5yd

 and a height of 7yd.

Write the exact volume in terms of π, and be sure to include the correct unit in your answer.

Answer 1

Area of base = pi(5)^2 =25pi

Volume = bh/3 = 25pi(7)/3

exact volume = 175pi/3 cubic yards

= 58.333...pi cubic yards where the 3's continue forever, to keep it "exact"

=58.333333333333333333333333333333...pi yd^3

= 58 1/3 pi cubic yards

if you want an inexact very close approximation

= 58 1/3 times about 3.14159 = 183.2594167...yd^3

Answer 2

Hi there!

The equation you will want to use to find the volume of a cone is V = πr²h/3.

Step 1:Plug in your values for each variable.

V= π(5yd)²(7yd)/3

Step 2: Follow order of operations to solve in terms of pi.

V= π(25yd²)(7yd)/3

V= π(175yd³)/3

V= 58.3π yd³