Question

1. What is the volume, in cubic centimeters, of the sphere shown below? Use 3.14
for Pi

Answer 1

The volume of a sphere is computed using the formula V = (4/3)πr³, with π approximated as 3.14. The radius must be in centimeters, and for a radius given in inches, it is first converted to centimeters by multiplying by 2.54.

Step-by-step explanation:

The question asks for the volume of a sphere when the radius is given. To calculate this, we use the formula for the volume of a sphere, which is V = (4/3)πr³, with π (pi) approximated as 3.14. The radius needs to be in centimeters to match the required units of cubic centimeters.

If the radius given was in inches, like the 4.30 inches in the example, we first need to convert that measurement to centimeters. Since one inch equals 2.54 centimeters, we multiply 4.30 inches by 2.54 to get the radius in centimeters. After obtaining the radius in the correct units, we can substitute it into the formula to find the volume.

For example, if the radius of the sphere is 4.30 inches, after conversion we have a radius of (4.30 inches × 2.54 cm/inch). We would then cube this radius and multiply by (4/3) and 3.14 to get the volume in cubic centimeters.

Answer 2

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere =
`\frac{4}3}`
`\pi r^3`

= 4 * 3.14 * 3 * 3 *3 / 3

= 4 * 28.26

= 113.04 cm³