Volume of Pyramids & Cones

Front

What is the formula for the volume of a cone?

Back

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

What is the formula for the volume of a pyramid?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Tags

CCSS.HSG.GMD.A.3

Front

What does π (pi) represent in volume calculations?

Back

π is a mathematical constant approximately equal to 3.14, used to calculate the circumference and area of circles.

Tags

CCSS.HSG.GMD.A.1

Front

How do you find the area of the base of a cone?

Back

The area of the base of a cone is calculated using the formula A = πr², where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the height and volume of a cone?

Back

The volume of a cone increases with the height; doubling the height will double the volume if the base area remains constant.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cone is doubled, how does the volume change?

Back

If the radius is doubled, the volume increases by a factor of four, since volume is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for providing a practical answer, especially in real-world applications where exact measurements may not be possible.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert cubic centimeters to cubic meters?

Back

To convert cm³ to m³, divide the volume in cm³ by 1,000,000 (1 m³ = 1,000,000 cm³).

Tags

CCSS.3.MD.A.2

Front

What is the volume of a cone with a radius of 2 m and a height of 3 m?

Back

V = (1/3)π(2)²(3) = 12.56 m³ (using π ≈ 3.14).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 40 in² and a height of 6 in?

Back

V = (1/3)(40)(6) = 80 in³.

Tags

CCSS.HSG.GMD.A.3