Question

Find the volume of the frustum cone whose base and top radius is $0.1cm$ and $0.01cm$ respectively. The height of the cone is $3cm$. (Use $\pi$ = 3).

• A. $0.0003cm$${}^3$
• B. $0.0033cm$${}^3$
• C. $0.3333cm$${}^3$
• D. $0.0333cm$${}^3$

Answer 1

Answer: (D)

$0.0333cm$${}^3$

Volume of frustum $=\frac{1}{3}\pi (R^2+r^2+Rr)\times h$

$=\frac{1}{3}\times 3({\left(0.1\right)}^2+{\left(0.01\right)}^2+(0.1\times 0.01))\times 3$

$=3(0.01+0.0001+0.001)$

$=3\times 0.0111=0.0333{cm}^3$