Volume and Surface Area

What is surface area?

• the amount of space inside a 3D figure without any gaps or overlaps.

• the sum of the areas of all faces (or surfaces) on a 3D shape.

What is the formula for finding the Volume of a cylinder?

• V = πr²h

• SA = 2πrh+2πr²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for finding the Volume of a cone?

• SA= πr(r + √(r²+h²))

• V = ⅓πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for finding the Volume of a sphere?

• V = 4/3πr³

• SA = 4πr²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for finding the Surface Area of a cylinder?

• V = πr²h

• SA = 2πrh+2πr²

What is the formula for finding the Surface Area of a cone?

• SA= πr(r + √(r²+h²))

• V = ⅓πr²h

What is the formula for finding the Surface Area of a sphere?

• V = 4/3πr³

• SA = 4πr²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of this cylinder.

• 3015.9 $cm^3$

• 960 $cm^3$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the surface area of this cylinder.

• 1156.1 $cm^2$  

• 1156.1 $cm^3$  

Find the surface area of this cone.

• 64.3 $in^2$

• 33.5 $in^3$