CC3 Volume of Cylinder/Cone/Sphere 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 convert diameter to radius?

Back

Radius (r) = Diameter (d) / 2.

Front

What is the volume of a cylinder with radius 3 m and height 1.2 m?

Back

V = π(3)²(1.2) = 34.56 m³.

Front

If a cylinder has a diameter of 4 m, what is its radius?

Back

Radius = 4 m / 2 = 2 m.

Front

What is the volume of a cone with radius 2 cm and height 5 cm?

Back

V = (1/3)π(2)²(5) = 20/3π cm³ ≈ 20.94 cm³.

Front

What is the volume of a sphere with a radius of 3 cm?

Back

V = (4/3)π(3)³ = 36π cm³ ≈ 113.1 cm³.

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Rearrange the formula: h = V / (πr²).

Front

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

Back

V = π(5)²(10) = 250π cm³ ≈ 785.4 cm³.