A right circular cone has a volume of 32 Pi cubic feet the height of the cone of 6 feet what is the length of the radius A 3ft B 4 ft C 5 ft D 6 ft

Respuesta :

Answer:

B

Step-by-step explanation:

The answer Is 4, We can solve it in 2 steps.

Step 1: Find B. Start with the right circular cone Volume Formula,

V = 1/3 Bh, where B is the area of the base, and h is the height of the cone.

32 Pi ft.3 = 1/3 B x 6 ft.

96 Pi ft.3 = B x 6 ft.

16 Pi ft.2 = B

Step 2: Find R.

Use the area formula for a circle, B = Pi r2, where r is the radius of the cone.

16 Pi ft.2 = Pi r2

16 Pi ft.2 divided by Pi = Pi r2 divided by Pi

16 ft.2 = R2

the square root of 16 ft.2 = the square root of r2

4 ft, = r

Your answer is B.

The length of the radius of the cone is 4 ft. Then the correct option is B.

What is volume?

The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space.

It is given that 712.04 grams. The volume of the cone is,

V = 1/3 Bh,

Where, B is the area of the base, and h is the height of the cone.

32 π  = 1/3 B x 6 ft.

96 π = B x 6 ft.

16 π = B

The radius is,

Use the area formula for a circle, B = π r², where r is the radius of the cone.

16 π  = π r²

16 = r²

r = 4 ft

Hence, the correct option is B.

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