118k views
17 votes
Find the volume of the composite solid shown. Round to the nearest tenth.

Find the volume of the composite solid shown. Round to the nearest tenth.-example-1

1 Answer

6 votes

Answer:

113.1
cm^(3)

Explanation:

The equation to find the volume of a cylinder is:


V = \pi r^(2) h

V = volume

r = radius

h = height

The radius of the cylinder is 3 in, and the height of the cylinder is 2 in. Plug these into the equation:


V = \pi (3)^(2) (2)

Solve (use calculator):

V =
18\pi or 56.55
cm^(3)

To find the volume of the half sphere use this equation:


V = (1)/(2)((4)/(3) \pi r^(3) )

The radius of the circle is 3 in, plug this into the equation:


V=(1)/(2) ((4)/(3) \pi (3^(3)))

Solve (use calculator):

V =
18\pi or 56.55
cm^(3)

To find the volume of the entire shape just add the separate volumes together:

V( of cylinder) + V( of sphere) = Total volume


56.55 cm^(3)+56.55 cm^(3)= 113.1 cm^(3)

Or, you could rewrite this as 36
\pi

So, the answer is that the volume of the composite solid is 113.1
cm^(3)

User Andyuk
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories