What is the volume of this oblique cone?

Question

asked Aug 5, 2020 27.1k views

2 Answers

Gazi · Answer 1 · 2020-08-09T05:28:31+0000

Answer:

The volume of oblique cone having base radius 9 cm and height 6 cm is 1356.48 cm³

Explanation:

Given: An oblique cone with base radius 9 cm and height 16 cm

We have to find the volume of the given oblique cone.

Consider the given oblique cone with base radius 9 cm and height 16 cm.

Volume of oblique cone =
$(1)/(3)\cdot \text{area of base} \cdot \text{height}$

Finding first the area of base

base of oblique cone is circle so area of base =
$\pi r^2$

area of base =
$\pi (9)^2=81\pi$ cm²

Substitute, we get,

Volume of oblique cone =
$(1)/(3)\cdot 81\pi \cdot 16$

Volume of oblique cone =
$27\pi \cdot 16$

Volume of oblique cone =
$432\pi$

Using
$\pi=3.14$ , we get,

Volume of oblique cone =
432 * 3.14

Volume of oblique cone = 1356.48 cm³

Thus, the volume of oblique cone having base radius 9 cm and height 6 cm is 1356.48 cm³