Volume

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (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

How do you calculate the volume of a sphere?

Back

The volume V of a sphere is calculated using 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 the radius and volume of a sphere?

Back

The volume of a sphere increases with the cube of its radius. If the radius doubles, the volume increases by a factor of eight.

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 V of a cylinder is given by the formula V = 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 total surface area of a cylinder?

Back

The total surface area A of a cylinder is A = 2πr(h + r), where r is the radius and h is the height.

Front

What is the formula for the volume of a rectangular prism?

Back

The volume V of a rectangular prism is calculated using the formula V = lwh, where l is the length, w is the width, and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the significance of Pi (π) in volume calculations?

Back

Pi (π) is a constant approximately equal to 3.14, used in formulas for calculating the volume of circular shapes like cones and spheres.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a volume of 25 cm³ and a radius of 1.75 cm, how do you find its height?

Back

Use the formula V = (1/3)πr²h. Rearranging gives h = 3V/(πr²). Plug in V = 25 cm³ and r = 1.75 cm to find h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a globe with a radius of 11 inches?

Back

Using the formula V = (4/3)πr³, the volume is approximately 5,575 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the total surface area of a sphere?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3