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Find the volume of a right circular cone that has a height of 13 in and a base with a
circumference of 5.1 in. Round your answer to the nearest tenth of a cubic inch.

Respuesta :

Answer:

Step-by-step explanation:

the formula for finding  the volume of a cone would be V= 3.14 r sqaured * h/3

so plug that in and it would be   3.14(5.1) sqaured * 13/3

3.14 is the formula of pie which is in the formula for finding the volume of

5.1*5.1=  26.01

3.14* 26.01= 81.67    

13/3= 4.34

81.67* 4.34= 354.45

The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

Calculation of the volume of right circular cone:

Since

We know that

Volume = [tex]\pi r^2 \frac{h}{3}[/tex]

Since the circumference is 5.1 inches

So here the radius be like

Circumference = [tex]2\pi r[/tex]

5.1 = 2(3.14) r

r = 0.8121

Now the volume should be

[tex]= 3.14 \times (0.8121)^2 \frac{13}{3}[/tex]

= 8.97824

Hence, The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

Learn more about volume here: https://brainly.com/question/24420115

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