Question

A tipt that is shaped like a cone has a diameter of 12 ft and a height of 15 ft. What is the volume of the tipi? please help due tomorrow

Answer 1

we know that

the volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

where

r is the radius of the base of the cone

h is the height of the cone

in this problem we have

$D=12 ft\\ r=(D/2)=12/2=6ft\\ h=15 ft$

Substitute in the formula above

$V=\frac{1}{3}*\pi*6^{2}*15$

$V=180*\pi\ ft^{3}$

$V=565.49\ ft^{3}$

therefore

the answer is

the volume of the cone is $180*\pi\ ft^{3}$ or $565.49\ ft^{3}$