Question

13

Answer 1

The expression that represents the volume of the composite figure is $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$. The correct option is the third option $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

Calculating Volume

From the question, we are to determine the expression that represents the volume of the composite figure

The composite figure consist of a cylinder and a cone

∴ Volume of the composite figure = Volume of the cylinder + Volume of the cone

Volume of a cylinder = $\pi r^{2} h$

Where r is the radius

and h is the height of the cylinder

Volume of a cone = $\frac{1}{3} \pi r^{2} h$

Where r is the radius

and h is the height of the cone

Consider the composite figure

For the cylinder part

r = 5

h = 13

For the cone part

r = 5

h = 25 - 13 = 12

Thus,

Volume of the composite figure = $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

Hence, the expression that represents the volume of the composite figure is $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$. The correct option is the third option $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

Learn more on Calculating volume here: brainly.com/question/16703501

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