Pythagorean Theorem Missing Sides, Volume Cylinders, Cones, Spheres, Surface Area

Find the total surface area of this figure.

Round to the nearest hundredth.

• 84.44 sq in

• 25.25 sq in

• 104.62 sq in

• 56.52 sq in

Find the volume of the Sphere

• 78.5 m³

• 392.5 m³

• 523.6 m³

• 62.8 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A three-dimensional figure with two sides parallel circular bases that are the same size.

• Cone

• Cuboid

• Cylinder

• Sphere

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the volume of the sphere rounded to the nearest tenth?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone is placed inside a cylinder, as shown. They have the same height and diameter. About how much space is inside the cylinder but outside the cone?

• 314 ft³

• 628 ft³

• 1,257 ft³

• 2,513 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram.  

Which measurement is closest to the volume of the party hat in cubic inches?

Round to the nearest tenth

Mathematical Equivalence

ON

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Larry attached a string from the top of the flagpole to the ground.  The flagpole is 26 feet high and the string is 18 feet away from the flagpole.  How long is the string? 

• 352 feet 

• 31.6 feet 

• 44 feet 

• 6.6 feet 

Tags

CCSS.8.G.B.8

A table has a diagonal length of 56.6 inches. If the table is 48 inches long, what will the perimeter of the table be? Round your answer to the nearest whole number.

• 30 inches

• 78 inches

• 156 inches

• 135 inches

Tags

CCSS.8.G.B.8

You have a cone with diameter of 4 and height of 6, a cylinder with a radius of 2 and a height of 3, and a sphere with radius 1.5. What are the volumes for each?

Cone: ​ (a)   Cylinder: ​ (b)   Sphere: ​ (c)  

• 25.1

• 37.7

• 14.1

• 28.2

• 17.5

• 40.9

• 19.3

• 14.2

• 37.8

• 25.2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3