Question

The birthday candle has the form of a cylinder and cone together, if its has a common radius of 5 mm. The height of cylinder is 20mm, and the height of cone is 8 mm. About how much soil does the container hold?.

Answer 1

1779.33 mm³

Explanation:

We are given a candle in a form of a cylinder and a cone

Dimensions;

Common radius is 5 mm

Height of the cylinder is 20 mm

Height of the cone is 8 mm

We are required to determine the amount that it can hold.

To answer the question we are going to determine its volume

Cylinder;

Volume of a cylinder is given by;

V = πr²H

Taking π to be 3.14

Then ;

Volume of cylinder = 3.14 × 5mm² × 20 mm

= 1570 mm³

Cone

Volume of a cone is given by;

V = 1/3πr²H

That is;

Volume =1/3 × 3.14 × 5mm² × 8 mm

= 209.33 mm³

Therefore;

Volume of the solid = 1570 mm³ + 209.33 mm³

= 1779.33 mm³

Thus, the volume of the solid is 1779.33 mm³