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Alchen [17]
3 years ago
11

A cone has a diameter of 8ft and height of 3ft. What’s the volume?

Mathematics
2 answers:
stepladder [879]3 years ago
7 0

Step-by-step explanation:

1/3 πr²h

Given

diameter (d) = 8ft

radius (r) = d/2 = 8/2 = 4 ft

height (h) = 3 ft

Volume of cone

\frac{1}{3} \times \pi {r}^{2}  h

\frac{1}{3}  \times 3.14 \times  {4}^{2}  \times 3

\frac{150.72}{3}

=50.24 ft³

Gennadij [26K]3 years ago
5 0

The cone formula is V=1/3(pi*r^2)h, plug in what you know 150pi=1/3(pi*r^2)8.

Multiply both sides by 3: 450pi=(pi*r^2)8

Divide by 8: 56.25pi=pi*r^2

Divide by pi: 56.25=r^2

Square root both sides: 7.5=r

Multiply by 2 to find diameter: d=15

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