Exercise 8 Page 601

We are given the following solid.

Note that the solid consists of one cone and one cylinder. To find the volume of the solid, we need to find the volumes of the cone and the cylinder. We will start with the cone. Recall that the volume of a cone with the radius r and height h can be calculated by the following formula. V=1/3π r^2 hIn this case, the radius of the cone is 6 centimeters and the height is 10 centimeters. We can substitute the radius and the height into the formula and calculate the volume of the cone.

V=1/3 π r^2 h

SubstituteII

r= 6, h= 10

V=1/3 π ( 6)^2 ( 10)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(36)(10)

Multiply

Multiply

V= 1/3 * 360 * π

MoveRightFacToNumOne

1/b* a = a/b

V=360π/3

UseCalc

Use a calculator

V=376.991...

RoundInt

Round to nearest integer

V≈ 377

The volume of the cone is equal to about 377 cm^3. Next, we will find the volume of the cylinder. We will start by recalling that the volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h The given cylinder has a height of 8.5 centimeters and a radius of 6 centimeters. Let's substitute the height and the radius into the formula and calculate the volume of the cylinder.

V=π r^2 h

SubstituteII

r= 6, h= 8.5

V=π ( 6)^2 ( 8.5)

▼

Simplify right-hand side

CalcPow

Calculate power

V=π(36)(8.5)

Multiply

Multiply

V= π (306)

UseCalc

Use a calculator

V=961.327...

RoundDec

Round to 1 decimal place(s)

V≈ 961.3

The volume of the cylinder is about 961.3 cm^3. Finally, we can calculate the volume of the solid by adding the volumes that we found. 377+961.3=1338.3 Therefore, the volume of the solid is about 1338.3 cm^3.