Given:
Volume of the cone = 23,942.5 cubic cm
Radius of the cone = 25 cm
The value of π ≈ 3.14
To find:
The height of the cone
Solution:
Volume of the cone formula:
[tex]$V=\frac{1}{3} \pi r^2h[/tex]
Substitute the given values.
[tex]$\frac{1}{3} \times 3.14 \times 25^2\times h=23942.5[/tex]
[tex]$\frac{1}{3} \times 3.14 \times 625\times h=23942.5[/tex]
[tex]$654.17\times h=23942.5[/tex]
Divide by 654.17 on both sides.
[tex]$\frac{654.17\times h}{654.17} =\frac{23942.5}{654.17}[/tex]
[tex]h=36.6[/tex] cm
The height of the cone is 36.6 cm.
