Volume of Cones

Front

What is the formula for the Volume of a Cone?

Back

V = (1/3)π r²h

Front

How do you calculate the volume of a cone with a radius of 7.5 cm and a height of 5 cm?

Back

V = (1/3)π (7.5)²(5) = 294.38 cm³

Front

What is the volume of a cone with a radius of 3 cm and a height of 4 cm?

Back

V = (1/3)π (3)²(4) = 37.7 cm³

Front

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

Back

The volume increases by a factor of 8.

Front

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

Back

Volume is directly proportional to height; if height increases, volume increases.

Front

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

Back

V = (1/3)π (2)²(6) = 8π ≈ 25.13 cm³

Front

How do you find the base area (B) of a cone?

Back

B = π r², where r is the radius of the base.

Front

What is the volume of a cone with a radius of 5 cm and a height of 10 cm?

Back

V = (1/3)π (5)²(10) = 83.33 cm³

Front

If a cone has a volume of 150.72 cm³ and a height of 12 cm, what is the radius?

Back

r = √((3V)/(πh)) = √((3*150.72)/(π*12)) ≈ 4.25 cm

Front

What happens to the volume of a cone if the height is halved?

Back

The volume is halved.