Chapter 12.5, Problem 21PPS

To determine

To determine the volume of oblique cone.

Answer to Problem 21PPS

  $V\approx 1072.3{\text{ inch}}^3$

Explanation of Solution

Given:

Diameter of cone $=16$ inch

Height of cone $=16$ inch

Formula used:

Volume of cone, $V=\frac{1}{3}\pi r^{2}h$

Calculation:

Diameter of cone $=16$ inch

Height of cone $=16$ inch

Radius of the cone $=\frac{\text{Diameter}}{2}=\frac{16}{2}=8$ inch

The volume of oblique cone is given as,

  $\Rightarrow$ Volume of Cone $V=\frac{1}{3}\pi r^{2}h$

Putting the value of radius and height,

  $\Rightarrow$ Volume of Cone $V=\frac{1}{3}\times \pi \times {(8)}^2\times 16$

  $\Rightarrow$ Volume of Cone $V=\frac{1}{3}\times \pi \times 64\times 16$

  $\Rightarrow$ Volume of Cone $V=\frac{1}{3}\times 3216.99$

  $\Rightarrow$ Volume of Cone $V\approx 1072.33{\text{ inch}}^3$

Conclusion:

Therefore, the volume of oblique cone is $V\approx 1072.3{\text{ inch}}^3$ .