Question

What is the volume of the cone? Use π ≈ 3.14.

A. 12.56 cubic units
B. 18.84 cubic units
C. 20.93 cubic units
D. 25.12 cubic units

Answer 1

12.56 cubic units.......

Answer 2

Option (a) is correct.

The volume of cone is 12.56 cubic meters.

Explanation:

Given : A oblique cone with slant height = 5 units and diameter = 4 units.

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

Consider the given oblique cone with slant height = 5 units and diameter = 4 units.

In a right angle triangle, the square of hypotenuse is equal to the sum of square of base and perpendicular.

that is
`h^2=b^2+p^2`

Apply Pythagoras theorem,

We have,

h = 5 and b = 4

Thus,
`5^2=4^2+p^2`

Solve for p , we have,

`25-16=p^2`

`9=p^2`

Thus, p = 3 (as length cannot be negative)

Thus, the height of cone is 3 units

Volume of cone =
`(1)/(3)\pi r^2h`

Put r = 2 and h = 3 and π ≈ 3.14.

We have,

Volume of cone =
`(1)/(3)\cdot 3.14 \cdot 4 \cdot3`

Simplify, we have,

Volume of cone = 12.56 units³

Thus, The volume of cone is 12.56 cubic meters.