Volume and Surface Area

Front

What is the formula for the surface area of a cone?

Back

The surface area of a cone is given by the formula: SA = πr(r + l), where r is the radius of the base and l is the slant height.

Front

What is the formula for the surface area of a cylinder?

Back

The surface area of a cylinder is given by the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: V = πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the surface area of a sphere?

Back

The surface area of a sphere is given by the formula: SA = 4πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere?

Back

The volume of a sphere is given by the formula: V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between surface area and volume?

Back

Surface area is a measure of the total area that the surface of an object occupies, while volume measures the amount of space an object occupies. They are related but represent different properties.

Front

How do you calculate the slant height of a cone?

Back

The slant height (l) of a cone can be calculated using the Pythagorean theorem: l = √(r² + h²), where r is the radius and h is the height.

Front

What is the significance of the radius in volume and surface area calculations?

Back

The radius is a critical dimension in calculating both volume and surface area for circular shapes, affecting the size of the base and overall dimensions.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used for measuring volume and surface area?

Back

Volume is typically measured in cubic units (e.g., cm³, m³), while surface area is measured in square units (e.g., cm², m²).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4