Volume / Surface Area / Pythagorean Theorem STAAR

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

How do you find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the Pythagorean Theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the radius of a cylinder if the diameter is 9 feet?

Back

Radius = Diameter / 2 = 4.5 feet.

Front

If a cylinder has a height of 21 feet and a radius of 4.5 feet, what is its volume?

Back

Volume = π(4.5)²(21) ≈ 1335.96 ft³.

Front

What is the total surface area of a cylinder with a radius of 4.5 feet and a height of 21 feet?

Back

Surface Area = 2π(4.5)(21 + 4.5) ≈ 100.53 square inches.

Front

If one side of a right triangle is 60 inches and the other is 80 inches, what is the length of the hypotenuse?

Back

Hypotenuse = √(60² + 80²) = 100 inches.

Front

What is the volume of a cylinder with a radius of 3 units and a height of 5 units?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 units³.

Front

How do you calculate the surface area of a cylinder with a radius of 3 units and a height of 5 units?

Back

Surface Area = 2π(3)(5 + 3) = 48π ≈ 150.80 square units.