Download 8.5-Real-World Problems: Surface Area and Volume

Chapter 8
8.5: Real-World Problems: Composite Solids
Objective…
Part A: Find the Volume and Surface Area of a Composite Solid

1)
Find the volume of a composite solid
A composite solid is made up of a cone and a cylinder. The height of the
solid is 13 centimeters. The height of the cylinder is 7 centimeters and
its radius is 8 centimeters. Find the volume of the composite solid to the
nearest cubic centimeter. Use 3.14
a. Volume of the cylinder:
b. Volume of the cone:
c. Volume of the composite solid:
Chapter 8
8.5: Real-World Problems: Composite Solids
2)
A composite solid is made up of a cone and a cylinder. The slant height of
the cone is 25 centimeters. The height of the cylinder is 15 centimeters
and its radius is 12 centimeters. The height of the solid is 37
centimeters. Use 3.14
a. Find the volume of the composite solid to the nearest cubic
centimeter:
b. Volume of cone:
c. Volume of the composite:
d. Find the surface area of the composite solid to the nearest square
centimeter:
Chapter 8
8.5: Real-World Problems: Composite Solids

1)
Solve a real-world problem involving a composite solid
A wooden toy is made up of a cone attached to a hemisphere with a
diameter of 10 centimeters. The slant height of the cone is 13
centimeters. What is the surface are of the toy? Use 3.14 and round to
the nearest tenth.
a. Radius of hemisphere:
b. Surface area of the hemisphere:
c. Area of the lateral surface of the cone:
d. Surface area of the toy:
Chapter 8
8.5: Real-World Problems: Composite Solids
2)
A birdhouse looks like a cube with a square pyramid on top. As shown, the
birdhouse has a circular entrance with a diameter of 4 inches. Find the surface
area of the birdhouse.
3)
A candleholder is in the shape of a cube with a cylindrical hole through the
middle. The edge length of the cube is 15 centimeters. The height of the
cylindrical hole is 9 centimeters. Its radius is 2.5 centimeters. What is the
volume of the candleholder? Use 3.14 and round to the nearest cubic
centimeter.
4)
The solid shown is a cylinder with a cone-shaped hole. The diameter of the
cylinder is 22 centimeters. Its height is 15 centimeters. The radius of the
cone-shaped hole is 7 centimeters and the height is 10 centimeters. Find the
volume of the solid. Use 3.14 and round your answer to the nearest cubic
centimeter.
Chapter 8
8.5: Real-World Problems: Composite Solids