4. A cylinder has a height of 7 cm and a base with a diameter of 10 cm. Determine the volume, in cubic centimeters, of the cylinder in terms of pi

volume of the cylinder is 175π cm³

Step-by-step explanation:

To determine the volume of the cylinder that has a height of 7 cm and a base with a diameter of 10 cm, we will follow the steps below;

first write down the formula for calculating the volume of a cylinder

volume of a cylinder=πr²h

where r is the radius of the cylinder and h is the height of the cylinder.

From the question given,

height h of the cylinder = 7 cm

diameter = 10 cm, but diameter = 2r

This implies that radius = diameter/2 = 10/2 = 5 cm

radius = 5cm

we can now proceed to insert the values into the formula;

volume of a cylinder=πr²h

=π*5²*7

=π*25*7

=175π cm³

volume of the cylinder is 175π cm³