Question

PLZZ HELP WILL GIVE BRAINIEST!An ice cream cone has a scoop of ice cream that is a half-sphere on top. What is the volume of the whole ice cream cone with the ice cream? Round to the nearest tenth. Use 3.14 for pi. Show your work and explain your answer.

Answer 1

Answer:

See example below.

Step-by-step explanation:

You'll need the height and radius of the cone to  find the volume. Use the example below to find your solution.

Example:

The volume of the cone is found using the volume formula for a cone $V=\frac{1}{3}\pi r^2h$.

Substitute h=18 and r = 6.

$V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi (6^2)(18)\\V=\frac{1}{3}\pi *36*18\\V = \frac{648}{3}\pi \\V= 216\pi = 678.24$

A half sphere is a hemisphere. The volume of a hemisphere is half of $V=\frac{4}{3}\pi r^3$. Substitute r=6.

$V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi 6^3\\V=\frac{4}{3}\pi *216\\V=\frac{4*216}{3}\pi\\ V=288\pi=452.6$

However the hemisphere is half this so it is $144\pi$.

The total volume for this example is 452.6 + 678.24 = 1,130.84