Volume and Pythagorean Theorem Study Guide 2

A cone, a cylinder and sphere all have the same radius and the same height. Which would have the largest volume?

• Cone

• Sphere

• Cylinder

• The Sphere and the cylinder would have the same volume

Tags

CCSS.3.MD.A.2

Avi has three buckets shaped like cylinders. He is filling the buckets with water by using a school shaped like a cone. If the cone has the same radius and the same height as the buckets, how many scoops will it take her to fill the three buckets?

• 9

• 3

• 27

• there is not enough information to tell

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 30 cm²
• 15 cm²
• 315 cm²
• 45 cm²

Tags

CCSS.8.G.B.8

Find the volume of the hemisphere

• 904.3 in³
• 226.1in³
• 113.0 in³
• 452.2 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is this formula used to find?
V=4/3πr³

• The volume of a cylinder
• The volume of a cone
• The volume of a sphere
• The area of a circle

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10

Tags

CCSS.8.G.B.7

What is the formula for Pythagorean theorem?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

Tags

CCSS.8.G.B.8

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

• 9
• 40
• 41

Tags

CCSS.HSG.CO.C.10

Is this triangle a right triangle?

• yes
• no

Tags

CCSS.8.G.B.8

How do you find the volume of a cone?

• V= ^1/₃ πr²h
• V= ^4/₃ πr²h
• V= ^4/₃ πr³
• V= πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3