Question

A three-dimensional figurehus a volume of 250 cubiccentimeters. Select the shapethat could match.1.TaFl. Asphere with a radus of 3.901cm2. Asphere with a diameter of 3.909073.А cone with a radius of 10.93 cmand a height of 2 cm.4. A cylinder with a radius of5.27cm and a neight of 4cm.S. A cylinder with a radius of1cm and a height of 8cm.

Answer 1

Volume is a measure of the amount of room in a three-dimensional space.

Generally represented mathematically as area x height.

1) A sphere has a volume measured mathematically as:

`V=(4)/(3)\pi* r^3`
`V=(4)/(3)\pi*3.901^3=248.666\text{ cubic cm}`

2) Applying the same formulae, we have

`V=(4)/(3)\pi*((3.90907)/(2))^3=31.277\text{ cubic cm}`

3) For a cone, volume, V gives

`\begin{gathered} V=(1)/(3)\pi* r^2h\text{ where h = perpendicular height} \\ V=(1)/(3)\pi*10.93^2*2=250.207\text{ cubic cm} \end{gathered}`

4) For a cylinder, V gives

`\begin{gathered} V=\pi r^2h\text{ } \\ V=\pi*5.27^2*4=349.005\text{ cubic cm} \end{gathered}`

5) For a cylinder, V gives

`V=\pi*1^2*8=25.133\text{ cubic cm}`

Therefore, sphere 1 and the cone will all give volumes of approximately 250 cubic cm