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#8 iFind the volume of the composite solid. Round your answer to the nearest hundredth.3 cm3 cm10 cmThe volume is about cubic centimeters.

#8 iFind the volume of the composite solid. Round your answer to the nearest hundredth-example-1
User Martin Senne
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1 Answer

25 votes
25 votes

Answer:


226.19\text{ cm}^3

Step-by-step explanation:

Here, we want to calculate the volume of the composite solid

Mathematically, that is the volume of the cylinder added to that of the cone

The volume of a cylinder is:


V_\text{ = }\pi r^2h

where r is the radius which is 3cm and h is the height which is (10 cm - 3cm = 7 cm)

The volume of a cone is:


V\text{ = }(1)/(3)\pi r^2h

where r is the base radius of the cone which is 3 cm and h is the height which is 3 cm

Substituting the values, we have it that:


\begin{gathered} V\text{ = }\pi r^2h\text{ + }(1)/(3)(\pi r^2h) \\ \end{gathered}

Substituting the values, we have:


\begin{gathered} V\text{ = \lparen}\pi*3^2*7)\text{ +}((1)/(3)*\pi*3^2*3) \\ \\ V\text{ = 197.92 cm}^3\text{ +}28.27\text{ cm}^3\text{ = 226.19 cm}^3 \end{gathered}

User Ivana
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