Question

10 cm10 cm8 cm18 cmUse the formulas to determine which has morevolume? <10 ,10> <8,18>

Answer 1

Given

For cone-

The radius is given 10 cm and height is 18 cm.

For cylinder-

The radius is 10 cm.

The height is 8 cm.

Step-by-step explanation

To determine the volume of cone.

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

Substitute the values

`\begin{gathered} V=(1)/(3)*3.14*10*10*18 \\ V=1884.95559\text{ cm}^2 \end{gathered}`

To determine the volume of cylinder

`V=\pi r^2h`

Substitute the values.

`\begin{gathered} V=3.14*10*10*8 \\ V=2513.27412cm^2 \end{gathered}`Answer

The volume of cone is 1884.9sq.cm and the volume of cylinder is 2513.2 sq.cm.

The volume of cylinder is more than the volume of cone.

From the statements given.

The correct statements are

To get an estimated answer for the volume , use 3.14 for pi.

A cone's volume is one third of a cylinder with the same height and radius.