Solve Problems with Cylinders Cones and Spheres

What is the formula for a cone figure?

• V = ⅓π²rh

• V = ⅓πr²h

• V = l × w × h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for a Cylinder figure?

• V = ½bhH

• V = πr²h

• V = ⁴/₃πr³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

When using a formula for a cone or a cylinder, you'll need to include both __ and __.

• ...rate...width

• ...diameter...heat

• ...radius...height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a Cylinder with a diameter of four centimeters, and height of six centimeters?

• V = 75.36 cm³

• V = 26 cm³

• V = 12.56 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Label each figure with the correct volume.

b

c

d

200 cubic cm

628.3 cubic cm

217.8 sq. cm

1,436.8 cubic cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

V = ? Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

V_{total}=V_{cone}+V_{cylinder} V = ? V_{total}=\frac{1}{3}\text{π} r^{2}h+\text{π} r^{2}h Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Geraldo is making candles. He melts wax in a cylindrical pitcher and then pours the wax into spherical molds. The pitcher has a diameter of 6 in. The wax in the pitcher is 7 in. deep. How many spherical candles can he make if each mold has a diameter of 4 in.?

• 5

• 6

• 9

• 12

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The cylinder and sphere have the same volume. What is the height of the cylinder?

• 9

• 12

• 3052.08

• 972

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

V_{total}=V_{cone}+V_{cylinder} V = ? V_{total}=rac{1}{3} ext{π} r^{2}h+ ext{π} r^{2}h Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3