Question

Find the volume (in cu ft) of the given decorative right circular cone.

• A. $\frac{133}{36}$
• B. $\frac{19}{36}$
• C. $\frac{133}{108}$
• D. $\frac{155}{36}$

Answer 1

The correct option is C $\frac{133}{108}$

Given:
Base area = $3\frac{1}{2}$ = $\frac{7}{2}$ sq ft
Height = $1\frac{1}{18}$ = $\frac{19}{18}$ ft

We know that,
Volume of a cone
= $\frac{1}{3}$ × Base area × Height
= $\frac{1}{3}$ × $\frac{7}{2}$ × $\frac{19}{18}$
= $\frac{133}{108}$ cubic ft

Hence, the volume of the decorative right circular cone is $\frac{133}{108}$ cu ft.