Answered

A cone has a diameter of 12 in. and a height of 16 in.


What is the volume of the cone?

Use 3.14 as an approximation for straight pi and express your final answer in hundredths.

Verified Answer :

TSO

\(\sf{Volume =\frac{1}{3}\times\pi\times r^2 \times h}\)

diameter is 12, that means the radius or r is 6.
h is height which is 16

Plugging that in to the formula you get:

\(\sf{Volume =\frac{1}{3}\times\pi\times 6^2 \times 16}\)

Simplify that:

\(\sf{Volume =\frac{1}{3}\times\pi\times 36 \times 16}\)

Simplify it more:

\(\sf{Volume = \pi \times 12\times 16}\)

Simplify it more:

\(\sf{Volume =\pi\times192 }\)

Replace pi with 3.14 and solve

\(\sf{Volume = 3.14\times192 }\)

Your final answer is:

\(\Huge{\boxed{\bf{602.88}}}\)

Related Questions