Question

Calculate the volume of a frustum cone given in figure: (Use $\pi$ = 3.14) where $D$ is diameter, $r$ is radius, $h$ is height.

• A. 3,7680 in${}^3$
• B. 253,760 in${}^3$
• C. 3,6680 in${}^3$
• D. 12222 in${}^3$

Answer 1

The correct option is A 3,7680 in${}^3$

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

$D=20in,r=10in,h=120in$

Diameter $=2$ radius

$R=10in$

$V=(3.14\times 120)/\left(3\right)[{10}^2+10\times 10+{10}^2]$

$=3.14\times 40[100+100+100]$

$=125.6\left[300\right]$

$=3,7680i{n}^3$