Mathematics: The circumference of the base of the cone is 8.5π inches. What is the volume of the cone in terms of π? Round to the nearest hundredth. Enter your answer in the box.

The circumference of the base of the cone is 8.5π

fatimitashikita

22.01.2022

Given:

Circumference of the base = 8.5π inches

Height of the cone = 15 inches

To find:

The volume of the cone.

Solution:

Circumference of the base is a circle.

Circumference = 2πr

2πr = 8.5π

Cancel the common factor π on both sides.

2r = 8.5

Divide by 2 on both sides, we get

r = 4.25

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

$$=\frac{1}{3} \times \pi \times (4.25)^2 \times 15$

$$= \pi \times 18.0625 \times 5$

$$=90.3125\pi$

$$=90.31\pi$

The volume of the cone is 90.31π.

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coolvic345

16.01.2021

Hello, Your answer will be D.

Step-by-step explanation:

The data is symmetric for Shop A but not for Shop B ( note the values 10 and 11 for Shop B which are a lot lower than the other values).

Mean for Shop A and Median for Shop B. Have a Great Day!

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