Volume of Cylinders, Cones, and Spheres

Front

What is the formula for the volume of a cylinder?

Back

Front

What is the formula for the volume of a cone?

Back

Front

What is the formula for the volume of a sphere?

Back

Front

How do you calculate the volume of a cylinder?

Back

Front

What is the relationship between the radius and diameter of a circle?

Back

Front

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

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius.

Front

What is the volume of a cylinder with a radius of 3 units and a height of 5 units?

Back

@@V = ext{π} (3^2)(5) = 45 ext{π} ext{ units}^3 \approx 141.4 ext{ units}^3 (using ext{π} ext{≈} 3.14)@

Front

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

Back

@@V = rac{1}{3} ext{π} (2^2)(6) = rac{24}{3} ext{π} = 8 ext{π} ext{ units}^3 \approx 25.1 ext{ units}^3 (using ext{π} ext{≈} 3.14)@

Front

What is the volume of a sphere with a radius of 4 units?

Back

@@V = rac{4}{3} ext{π} (4^3) = rac{256}{3} ext{π} ext{ units}^3 \approx 268.1 ext{ units}^3 (using ext{π} ext{≈} 3.14)@

Front

What is the volume of a cylinder with a height of 10 units and a radius of 2 units?

Back

@@V = ext{π} (2^2)(10) = 40 ext{π} ext{ units}^3 \approx 125.6 ext{ units}^3 (using ext{π} ext{≈} 3.14)@