Volume: Cylinders, Cones, & Spheres flashcard

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

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.

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

How do you calculate the volume of a cylinder using 3.14 for π?

Back

Multiply the area of the base (πr²) by the height (h). For example, V = 3.14 * r² * h.

Front

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

Back

V = 3.14 * (3)² * 5 = 141.3 in³.

Front

What is the volume of a cone with a radius of 4 inches and a height of 6 inches?

Back

V = (1/3) * 3.14 * (4)² * 6 = 50.24 in³.

Front

What is the volume of a sphere with a radius of 2 inches?

Back

V = (4/3) * 3.14 * (2)³ = 33.49 in³.

Front

If the radius of a cylinder 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 cone with a radius of 5 cm and a height of 10 cm?

Back

V = (1/3) * 3.14 * (5)² * 10 = 261.67 cm³.

Front

How do you round the volume of a shape to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.