Volume Review

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you calculate the volume of a rectangular prism?

Back

The volume V of a rectangular prism is calculated using the formula: V = l × w × h, where l is the length, w is the width, and h is the height.

Front

What is the volume of a cone?

Back

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

Front

If a cylinder has a height of 10 cm and a radius of 5 cm, what is its volume?

Back

Using the formula V = πr²h, the volume is V = π(5)²(10) = 250π cm³, approximately 785.4 cm³.

Front

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

Back

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

Front

How do you find the volume of a composite figure?

Back

To find the volume of a composite figure, calculate the volume of each individual shape and then sum them up.

Front

What is the volume of a fish tank that is 45 cm long, 25 cm wide, and 10 cm deep?

Back

The volume is V = l × w × h = 45 cm × 25 cm × 10 cm = 11250 cm³.

Front

If a cone has a volume of 923.6 cm³ and a diameter of 14 cm, how do you find its height?

Back

First, find the radius r = 7 cm. Then use the formula V = (1/3)πr²h to solve for h: h = (3V)/(πr²).

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula: V = (4/3)πr³, where r is the radius.

Front

How do you round a volume to the nearest whole number?

Back

To round to the nearest whole number, look at the first decimal place: if it's 5 or more, round up; if it's less than 5, round down.