Answer:
C. [tex]3463.6\text{ in}^3[/tex]
Step-by-step explanation:
We have been given an oblique cone and we are asked to find the volume of our given cone.
We will use oblique cone formula to solve our given problem.
[tex]\text{Volume of oblique cone}=\frac{1}{3}\pi r^2*h[/tex], where,
r = Radius of cone,
h = Height of cone.
First of all, we will find the radius of our given cone by dividing 21 by 2.
[tex]r=\frac{21}{2}=10.5[/tex]
Upon substituting [tex]r=10.5[/tex] and [tex]h=30[/tex] in above formula,w e will get:
[tex]\text{Volume of oblique cone}=\frac{1}{3}\pi*(10.5\text{ in})^2*30\text{ in}[/tex]
[tex]\text{Volume of oblique cone}=\pi*110.25\text{ in}^2*10\text{ in}[/tex]
[tex]\text{Volume of oblique cone}=\pi*1102.5\text{ in}^3[/tex]
[tex]\text{Volume of oblique cone}=3463.60590058\text{ in}^3\approx 3463.6\text{ in}^3[/tex]
Therefore, option C is the correct choice.
