Week 16 Test

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 surface area of a cylinder?

Back

The surface area A of a cylinder is calculated using the formula: A = 2πr(h + r), where r is the radius and h is the height.

Front

What is the relationship between diameter and radius?

Back

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

Front

If a cylinder has a diameter of 12 inches, what is its radius?

Back

The radius is 6 inches, since r = d/2 = 12/2.

Front

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

Back

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

Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

Front

What is the volume of a cylinder with a height of 25 cm and a diameter of 18 cm?

Back

The volume is approximately 2119.5 cm³.

Front

What is the surface area of a cylinder with a height of 10 inches and a radius of 3 inches?

Back

The surface area is A = 2π(3)(10 + 3) = 78.9 in².

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula: V = (1/3)πr²h.

Front

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

Back

Rearranging the volume formula V = πr²h gives h = V / (πr²).