Question

Calculate the volume of a frustum cone given below: (Use $\pi$ = 3).

• A. 6,770 m${}^3$
• B. 8,770 m${}^3$
• C. 7,770 m${}^3$
• D. 9,770 m${}^3$

Answer 1

The correct option is C 7,770 m${}^3$

Volume of the frustum cone is $V=\frac{\pi h}{3}(R^2+Rr+r^2)$

R = 15 m, r = 2 m, h = 30 m

$V=(3\times 30)/\left(3\right)[{15}^2+15\times 2+2^2]$

$=30[225+30+4]$

$=30\left[259\right]$

$=7,770m^3$