Question

A cone has a diameter of 4 centimeters and a height that is 6 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone? (6 points) one over three (3.14)(4cm)2(24cm) one over three (3.14)(2cm)2(24cm) one over three (3.14)(24cm)2(4cm) one over three (3.14)(24cm)2(2cm)

Answer 1

Option B is correct that is volume of the cone is one over three (3.14)(2cm)^2(24).

Explanation:

Given: Diameter of the Cone , d = 4 cm

Height of the cone , h = 6 × d = 6 × 4 = 24 cm

To find: Volume of cone.

radius of cone , r =
`(d)/(2)=(4)/(2)=2\:cm`

Volume of the cone is given by the following formula,

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

`Volume=(1)/(3)(3.14)(2)^2(24)`

`Volume=(1)/(3)(3.14)(4)(24)`

Therefore, Option B is correct that is volume of the cone is one over three (3.14)(2cm)^2(24).