Volume of Cones

Front

What is the formula for the volume of a cone?

Back

V = \frac{1}{3} \pi r^2 h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'r' represent in the volume formula of a cone?

Back

The radius of the base of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'h' represent in the volume formula of a cone?

Back

The height of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cone with a radius of 3 cm and a height of 4 cm?

Back

V = \frac{1}{3} \pi (3^2)(4) = 12\pi \approx 37.7 cm^3.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

V = \frac{1}{3} \pi (5^2)(10) = \frac{250}{3}\pi \approx 261.8 cm^3.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 2 m and a height of 6 m?

Back

V = \frac{1}{3} \pi (2^2)(6) = \frac{24}{3}\pi = 8\pi \approx 25.1 m^3.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does changing the radius of a cone affect its volume?

Back

Increasing the radius increases the volume, as volume is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does changing the height of a cone affect its volume?

Back

Increasing the height increases the volume, as volume is directly proportional to the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 inches and a height of 9 inches?

Back

V = \frac{1}{3} \pi (4^2)(9) = \frac{144}{3}\pi = 48\pi \approx 150.8 in^3.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3