Question

The volume of this cone is 53,851 cubic yards. What is the height of this cone? Use pi = 3.14 and round your answer to the nearest hundredth.

Answer 1

Volume of a cone = 1/3 π r^2 h

Where:

r= radius = 35 yd

h= height

π = 3.14

Replacing with the values given:

53,851 = 1/3 (3.14) 35^2 h

Solve for h

53,851 / (1/3 (3.14) 35^2)= h

h= 42