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A cone has a volume of 40 cubic inches and is 8 inches tall. Follow the steps to find the base area of the cone.


1. Apply the formula for the volume of a cone:V = 1
3
Bh


2. Substitute values for the variables:40 = 1
3
B(8)


3. Simplify the right side:40 = 8
3
B


4. Multiply by the reciprocal:(3
8
)(40) = (3
8
)(8
3
)B


What is the base area of the cone?

Respuesta :

Answer:

15

Step-by-step explanation:

I did the assignment

The base area of the cone is 15 inches if the cone has a volume of 40 cubic inches and is 8 inches tall.

What is a cone?

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

The volume of the cone is:

[tex]\rm V = \dfrac{1}{3}\times b \times h[/tex]

Here b is the base area of the cone

[tex]\rm 40 = \dfrac{1}{3}\times b \times 8[/tex]    (V = 40 cubic inches and h = 8 inches)

[tex]\rm 120 = b \times 8[/tex]

[tex]\rm \dfrac{120}{8} = b[/tex]

b = 15 inches

Thus, the base area of the cone is 15 inches if the cone has a volume of 40 cubic inches and is 8 inches tall.

Learn more about the cone here:

brainly.com/question/16394302

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