Respuesta :

mathstudent55
Volume of a cone:

[tex] V = \dfrac{1}{3} \pi r^2 h [/tex]

where
V = volume
r = radius of the base
h = height of the cone

In this case, r = 8 in., and h = 16 in.

[tex] V = \dfrac{1}{3} \pi r^2 h [/tex]

[tex] V = \dfrac{1}{3} \times 3.14 \times (8~in.)^2 \times 16~in. [/tex]

[tex] V = 1071.8~in.^3 [/tex]
prestonshelton
Hello!

The equation to find the volume of a cone is

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

v is volume
r is radius
h is height

Put in 3.14 for pi and the numbers we know

[tex]V = 3.14 * 8^{2} \frac{16}{3} [/tex]

Square the 8

[tex]V = 3.14 * 64 \frac{16}{3} [/tex]

multiply 64 by 3.14

[tex]V = 200.96 * \frac{16}{3} [/tex]

Multiply

V = 1071.78

We round to the nearest tenth

V = 1071.8

The answer is 1071.8 cubic inches

Hope this helps!

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