Question

A cosmetic container in the shape of a cylinder has a diameter of 7 centimeters and a height of 3 centimeters. Which is closest to the volume of the container?

Answer 1

115.45cm³

Explanation:

From the question,A cosmetic container in the shape of a cylinder has a diameter of 7 centimeters and a height of 3 centimeters. Which is closest to the volume of the container?

The volume of a cylinder is pi × r² × h

And if we were given the dimensions of the container as 7 and 3(diameter and height of the cylinder respectively)

We can now find the volume of that cylinder provided we convert the diameter to the radius.

Diameter = radius × 2

Radius = diameter/2

7/2 = 3.5 (that is the radius)

We can now solve for the volume now that we have the height and the radius of the cylinder

V = 22/7 × 3.5² × 3

=115.45cm³

The closest volume of the cylinder is therefore 115.45cm³

Answer 2

the closest to the volume of the container is 115.4 cm³

Explanation:

To find the volume of the container, we simply use the formula for calculating volume of a cylinder;

V = π r ² h

Where π is a constant

r is the radius and h stands for height.

From the question given, diameter = 7 cm, but radius if half of the diameter, which implies; r = d/2 = 7/2 = 3.5 cm

h = 3 cm π ≈3.14

We can now proceed to insert our values into the formula;

V = π r ² h

≈ 3.14×3.5² × 3

≈ 3.14 × 12.25 × 3

≈115.395

≈115.4 cm³

Therefore the closest to the volume of the container is 115.4 cm³