Question

Find the volume of the figure.

• A. 3181.2
• B. 5162.5
• C. 7142.8
• D. 7141.2

Answer 1

The correct option is D

7141.2

Volume of the figure = volume of cone + volume of cylinder + volume of frustum

$=\frac{1}{3}$ $\pi r^2$h + $\pi r^2$H + $\frac{1}{3}\pi h_1$($r^2+R^2+rR)$

Where R = 7.5 ; r = 9 ; h = 7 ; H = 21 ; $h_1$ = 5.6

$=\frac{1}{3}\times \frac{22}{7}\times 81\times 7+\frac{22}{7}\times 81\times 21+\frac{1}{3}\times \frac{22}{7}\times \left(5.6\right)(81+{7.5}^2+67.5)=594+5346+1201.2=7141.2$