Volume of Composite Shapes

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a composite shape?

Back

Calculate the volume of each individual shape and then sum them up or subtract the volume of the removed part.

Tags

CCSS.5.MD.C.5C

Front

What is the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the value of π (pi) used in volume calculations?

Back

π is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you calculate the volume of a cylinder with a hemisphere removed from the top?

Back

Calculate the volume of the cylinder and subtract the volume of the hemisphere.

Tags

CCSS.5.MD.C.5C

Front

What is the volume of a rectangular prism?

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a roll of duct tape if its radius is 2.5 cm and height is 5 cm?

Back

Volume = π(2.5)²(5) = 31.25π ≈ 98.17 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of the empty space inside a cylinder?

Back

Calculate the total volume of the cylinder and subtract the volume of any solid inside it.

Tags

CCSS.5.MD.C.5C