Question

A cone that has volume 1026.25mm^3 and height 20mm. Find the radius of the cone

Answer 1

7 mm

Explanation:

volume = 1026.25mm^3

height 20mm.

vol. = 1/3 π r² h

1026.25 = 1/3 π r² (20)

r² = 1026.25 / (1/3 π (20) )

r = 7 mm

radius of the cone = 7 mm

Answer 2

r = 7 mm

Explanation:

given:

A cone that has volume 1026.25mm^3 and height 20mm.

Find:

the radius of the cone

solution:

volume of a cone = 1/3 π r² h

where

vol = 1026.25 mm³

h = 20 mm

plugin values into the formula:

vol. = 1/3 π r² h

1026.25 = 1/3 π r² (20)

r² = 1026.25

1/3 π (20)

r =
`√(49)`

r = 7 mm

therefore,

the radius of the cone = 7 mm