9.6 Solve geometry applications: volume and surface area  (Page 8/11)

Golf ball A golf ball has a radius of $4.5$ centimeters. Find its ⓐ volume and ⓑ surface area.

Baseball A baseball has a radius of $2.9$ inches. Find its ⓐ volume and ⓑ surface area.

radius $3$ feet, height $9$ feet

radius $5$ centimeters, height $15$ centimeters

radius $1.5$ meters, height $4.2$ meters

radius $1.3$ yards, height $2.8$ yards

Coffee can A can of coffee has a radius of $5$ cm and a height of $13$ cm. Find its ⓐ volume and ⓑ surface area.

Snack pack A snack pack of cookies is shaped like a cylinder with radius $4$ cm and height $3$ cm. Find its ⓐ volume and ⓑ surface area.

Barber shop pole A cylindrical barber shop pole has a diameter of $6$ inches and height of $24$ inches. Find its ⓐ volume and ⓑ surface area.

Architecture A cylindrical column has a diameter of $8$ feet and a height of $28$ feet. Find its ⓐ volume and ⓑ surface area.

height $9$ feet and radius $2$ feet

height $8$ inches and radius $6$ inches

height $12.4$ centimeters and radius $5$ cm

height $15.2$ meters and radius $4$ meters

Teepee What is the volume of a cone-shaped teepee tent that is $10$ feet tall and $10$ feet across at the base?

Popcorn cup What is the volume of a cone-shaped popcorn cup that is $8$ inches tall and $6$ inches across at the base?

Silo What is the volume of a cone-shaped silo that is $50$ feet tall and $70$ feet across at the base?

Sand pile What is the volume of a cone-shaped pile of sand that is $12$ meters tall and $30$ meters across at the base?

Street light post The post of a street light is shaped like a truncated cone, as shown in the picture below. It is a large cone minus a smaller top cone. The large cone is $30$ feet tall with base radius $1$ foot. The smaller cone is $10$ feet tall with base radius of $0.5$ feet. To the nearest tenth,

ⓐ find the volume of the large cone.

ⓑ find the volume of the small cone.

ⓒ find the volume of the post by subtracting the volume of the small cone from the volume of the large cone.

Ice cream cones A regular ice cream cone is 4 inches tall and has a diameter of $2.5$ inches. A waffle cone is $7$ inches tall and has a diameter of $3.25$ inches. To the nearest hundredth,

ⓐ find the volume of the regular ice cream cone.

ⓑ find the volume of the waffle cone.

ⓒ how much more ice cream fits in the waffle cone compared to the regular cone?

The formulas for the volume of a cylinder and a cone are similar. Explain how you can remember which formula goes with which shape.

Which has a larger volume, a cube of sides of $8$ feet or a sphere with a diameter of $8$ feet? Explain your reasoning.