Question

The base and top radius of a cone is 14 m and 8 m respectively. The height of the cone is 123 m. What is the volume of frustum of a cone? (Use $\pi$ = 3.14).

• A. 48,302.64 in
• B. 47,891.28 m
• C. 47,891.28 cm
• D. 47,891.28 m${}^3$

Answer 1

The correct option is D 47,891.28 m${}^3$

Volume of the frustum cone V = $\frac{\pi h}{3}(R^2+Rr+r^2)$
$R=14m,r=8m,h=123m$
$V=(3.14\times 123)/\left(3\right)[{14}^2+14\times 8+8^2]$
$=3.14\times 41[196+112+64]$
$=128.74\left[372\right]$
$=47,891.28m^3$