Question

Given a cone with a volume of 288 and height 7 in., find the base radius of the cone. Use 3.14 for pi. Round your answer to the tenths place.

Answer 1

Answer :

When you use the formula of volume of a cone ;

formula = 1/3 π X r X r X h (X used for multiplication)

= 1/3 X 3.14 X r X r X 7

r X r = 7.3266666667

r = 2.7055498517

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Answer 2

The radius of cone is 6.3 inches

Step-by-step explanation:

Height of cone = 7 inches

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

Volume of cone =$\frac{1}{3} \times 3.14 \times r^2 \times 7$

We are given that volume is 288 cubic inches

So,$\frac{1}{3} \times 3.14 \times r^2 \times 7 =288$

$r^2 = \frac{288 \times 3}{7 \times 3.14}$

$r = \sqrt{ \frac{288 \times 3}{7 \times 3.14}}$

r = 6.3

Hence The radius of cone is 6.3 inches

#Learn more:

The radius and the height of a right circular cone are in the ratio 5 : 12 and volume is 2512 cm cube find the slant height and the radius of the base of cone? Take Pi 3.14.

https://brainly.in/question/2257899