Question

Could anyone help with math?? Will up vote, thanks!

If a cone-shaped vase can hold 45 cubic centimeters of water and has a radius of 2 centimeters, what is the height of the vase? Use 3.14 for pi. Round your answer to the nearest hundredth.

7.45 centimeters
10.75 centimeters
14.33 centimeters
22.50 centimeters

Answer 1

volume of a cone V = pi * r * r * h / 3
so V = 45, r = 2 therefore 45 = 3.14 * 2 * 2 * h /3 => 45 = 3.14 * 4 * h /3
=> 135 = 3.14 * 4 * h => 33.75 = 3.14 * h => 10.75 = h
height = 10.75 cm rounded to 2 decimal places

Answer 2

The height of the cone is 10.75 cm.

Explanation:

Given the volume of cone = 45 cubic cm

Radius of the cone = 2 cm

Height of the cone = ?

The volume formula of cone is =
`\pi r^(2) (h)/(3)`

`45= 3.14*2*2* (h)/(3)`

=>
`45*3 =12.56h`

=>
`135=12.56h`

h = 10.748 ≈ 10.75 cm

So, the height of the cone is 10.75 cm.