Acone has a radius of 20cm and a volume of 925cm to the 3rd power. what is the volume of a similar cone with a radius of 10 cm?

115.625 cm³

Step-by-step explanation:

For 2 similar shapes

linear ratio = a : b, then

volume ratio = a³ : b³

The ratio of the radii = 20 : 10 = 2 : 1, thus

The ratio of the volumes = 2³ : 1³ = 8 : 1

Let x be the volume of the smaller cone, then

= ( cross- multiply )

8x = 925 ( divide both sides by 8 )

x = 115.625

The volume of the smaller cone = 115.625 cm³

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

what "following statement"?

step-by-step explanation: