Volume of Cylinders and Cones

Front

What is the formula to find the area of a circle?

Back

The area of a circle is given by the formula A = πr², where r is the radius.

Front

How do you find the radius of a circle if you know the diameter?

Back

The radius is half of the diameter. r = diameter / 2.

Front

What is the volume formula for a cylinder?

Back

The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height.

Front

How do you convert the volume of a cylinder from cubic feet to gallons?

Back

Multiply the volume in cubic feet by 7.5 to convert to gallons.

Front

What is the volume formula for a cone?

Back

The volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

V = π(3)²(10) = 90π cm³ ≈ 282.74 cm³.

Front

What is the area of a circle with a diameter of 10 cm?

Back

Area = π(5)² = 25π cm² ≈ 78.54 cm².

Front

How much water can a cylindrical tank with a diameter of 4 feet and height of 5 feet hold?

Back

V = π(2)²(5) = 20π ft³ ≈ 62.83 ft³, which is about 471.2 gallons.

Front

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

Back

The diameter is twice the radius. Diameter = 2 × Radius.

Front

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

Back

Rearrange the volume formula: h = (3V) / (πr²).