Math CSA Circles, Volume and Surface Area of Cylinders

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where C is the circumference and r is the radius.

Front

How do you calculate the area of a circle?

Back

A = πr², where A is the area and r is the radius.

Front

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

Back

The diameter is twice the radius (d = 2r).

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you find the surface area of a cylinder?

Back

SA = 2πrh + 2πr², where SA is the surface area, r is the radius, and h is the height.

Front

If a circle has an area of 314 cm², what is its radius?

Back

r = √(A/π) = √(314/π) ≈ 10 cm.

Front

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

Back

V = π(5)²(10) = 250π cm³ ≈ 785 cm³.

Front

How do you convert the diameter of a circle to radius?

Back

Divide the diameter by 2 (r = d/2).

Front

What is the approximate value of π?

Back

π ≈ 3.14.

Front

If a cylinder has a height of 15 cm and a radius of 3 cm, what is its volume?

Back

V = π(3)²(15) = 135π cm³ ≈ 423.9 cm³.