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Volume of Cones, Cylinders, and Spheres Answer Key

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Volume of Cylinders
#1

Demi is making a cylinder for a math project. The radius is 1 and the height is 10. What is the volume?

31.4 Inches cubed

#2

Emma wants to buy some Play-doh. The containers has a radius of 2 cm and a height of 3 cm. How much Play-doh can fit on this container?

37.68 Cm cubed

#3

What is the volume if r=5 and h=6 in iches cubed.

471 inches cubed

#4

Find the volume of a cylinder if the height is 7 inches and the radius is 6 inches.

923.16 inches cubed.

#5

Find the volume of a cylinder with a radius of 10 cm and a height of 8 cm.

2512 cm cubed

Volume of Cones
#1

Miley is eating Ice cream cones. She wants to know how much can fit in the cone without going over. If r=2 inches and h=3 inches, what is the volume?

12.56 inches cubed

#2

Selena is making party hats. She wants to know the volume of them to see if they ar too small or not. If r=3 cm and h=3 cm, what is the volume?

28.26 cm cubed

#3

Find the volume of a cone with a radius of 4 cm and a height of 2 cm.

33.49 cm cubed

#4

Derek is making a robot with a cone head. He wants to know what the volume of the cone is. if r=5 and h=10, what is the volume? (ROUND TO THE NEAREST TENTH)

261.7 units squared

#5

Find the volume of a cone if r=20 and h=1000.

1256000 units squared.

Volume of Spheres
#1

Mr. Kitty Cat has a yarn ball. Mr. Kitty Cat is a cat, so he can't find the volume. BUT CAN YOU? The radius is 1 cm. WHAT IS IT????

4.19 CM cubed

#2

Axel bought a soccer ball. Well, atleast he thought it was a soccer ball. Lets say the volume of a soccer ball is 160.2 units squared. Axel's ball has a radius of 3 units cubed. What is the difference between the two balls?

47.1 units squared

#3

Michael has a basketball. Michael isn't so bright so he doesn't know what the volume is. If the radius is 4.3, what is the volume? ROUND TO THE NEAREST HUNDRETH!!!

333.04 UNITS CUBED

#4

Ingrid has a bouncy ball. She wants to know what the volume is of her ball. Can you find the volume if the radius is 5?

523.6 units cubed

#5

Miley is making a wrecking ball. She wants to know the volume of the wrecking ball. What is the volume of the ball if the radius is 9.6? ROUND TO THE NEAREST HUNDRETH!!!!!

3704.09 units cubed.

Formulas
#1

What is the formula for the area for cylinders?

V= pi x radius squared x height

#2

Rida just can't remember the formula for a cone. What is the formula? Rida would appreciate it!!!

volume = (1/3) · pi · r2 · h

#3

Tina is writing the formula for a sphere. So far she wrote: V= 4/3 pi r What is she missing?

Cubed

#4

Alberto is writing the volume for a cylinder. He wrote: volume = pi · h What is he missing?

Radius cubed

#5

Naomi doesn't remember ANY formula for volume of cones, cylinders, and spheres. What are the formulas? Naomi would appreciate it!!!

Cylinder = pi · r2 · h

Sphere = (4/3) · pi · r3

Cone = (1/3)· pi · r2· h

EVERYTHING!!!!
#1

Sabrina was drinking soda. Sabrina was REALLY thirsty, but she didn't know what the volume was of the can!! Like any normal person would do, Sabrina had to find the volume before drinking it. If the height was 4 and the radius was 1, what was the volume?

12.56 units cubed

#2

Lila made a ball out of play-doh. She wants to know the volume. If the radius is 2, what is the volume? ROUND TO THE NEAREST HUNDREDTH

33.51 units cubed

#3

Taylor has a party and has party hats that she'll give out.  The hats have a radius of 4 and a height of 2. Except Taylor is too busy writing songs about her ex's that she can't find the volume. Can you? What is it?

33.51 units cubed

#4

Ellen has a big ball that says ELLEN on it. She wants to know if it is big enough for a person to fit in. She needs the volume. if the diameter is 12, what is the volume?

904.78 units cubed

#5

Bridgit lives in a house that has a cone roof (Don't judge her). The volume of the bottom part of the house is 3000 units cubed. If the diameter of her roof is 14, what is the volume of her whole house? 

4436.78 units cubed

Final Question

FINAL QUESTION!!!!!!

ARE YOU READY FOR 8TH GRADE MATH???

YES!!!!