Question

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VOLUME
A company designs a salt shaker in the shape of a square pyramid. The pyramid has a height of 20 millimeters and a base with side
lengths of 15 millimeters.
The company must also design a pepper shaker in the shape of a cone. The pepper shaker must have the same volume and helght as
the salt shaker
What should be the rádius, in millimeters, of the cone. Round your answer to the nearest hundredth.

Answer 1

The company should design the radius of the cone to be 8.46 mm to the nearest hundredth.

What is the volume of a square-based pyramid?

The volume if a square-based pyramid is calculated using the formula below:

• Volume = A×h/3

where:

A is the area of the base

h is the height of the pyramid

Also;

Volume of a cone is calculated using the formula below:

$v = \frac {\pi r^{2}h}{3}$

The area of the pyramid = 15 × 15 × 20/3 = 1500 cubic millimetres

Therefore height and volume of the cone is 20 mm and 1500 cubic millimetres respectively.

The radius of the cone, r will be:

$r = \sqrt{\frac{3× 1500×7}{22×20}} = 8.46 mm$

Therefore, the radius of the cone will be 8.46 mm to the nearest hundredth.

Learn more about radius of a cone at: https://brainly.com/question/26034573