Question

Keshawn decides to estimate the volume of a coffee cup by modeling it as a right

cylinder. Keshawn measures its radius as 2.8 cm and its volume as 197 cubic
centimeters. Find the height of the cup in centimeters. Round your answer to the
nearest tenth if necessary.

Answer 1

h ≈ 8.9

Explanation:

The formula for the volume of a right cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

In this case, we know that the radius of the coffee cup is 2.8 cm and the volume is 197 cubic centimeters. We can use this information to set up an equation and solve for the height:

V = πr^2h

197 = π(2.8)^2h

197 = 24.63h

h = 197 ÷ 24.63

h ≈ 8.00

Therefore, the height of the coffee cup is approximately 8.89 cm. We round this answer to the nearest tenth since the problem asks us to do so.

Answer 2

8.0 cm

Explanation:

You want the height of a coffee cup with a radius of 2.8 cm and a volume of 197 cm³.

Height

We can start with the volume formula and solve if for height:

V = πr²h

h = V/(πr²)

Using the given dimensions, we have ...

h = (197 cm³)/(π(2.8 cm)²) ≈ 7.9983 cm

The height of the cup is about 8.0 cm.

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