Question

Calculate the volume of a frustum cone given below: (Use = 3.14)

• A. 8,301.2 m${}^3$
• B. 8,201.2 m${}^3$
• C. 8,101.2 m${}^3$
• D. 8,001.2 m${}^3$

Answer 1

Answer: (C)

8,101.2 m${}^3$

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

R = 12 m, r = 2 m, h = 45 m

$V=(3.14\times 45)/\left(3\right)[{12}^2+12\times 2+2^2]$

$=3.14\times 15[144+24+4]$

$=47.1\left[172\right]$

$=8,101.2m^3$