Volume and Pythagorean Theorem

When fully inflated, a blue exercise ball has a diameter of 55 cm. A similar red exercise ball, when fully inflated, has a diameter of 75 cm. Which statement is true?

• The volume of the red ball is about 1.5 times larger than the volume of the blue ball.

• The volume of the red ball is about 2.5 times larger than the volume of the blue ball.

• The volume of the blue ball is about 1.5 times larger than the volume of the red ball

• The volume of the blue ball is about 2.5 times larger than the volume of the red ball

An isosceles triangle is shown. What is the approximate perimeter of the triangle?

• 13 units

• 14 units

• 22 units

• 23 units

April has two cone-shaped containers. The first container has a diameter of 6 inches and a height of 4 inches. The second container has a radius of 4 inches and a height of 3 inches. Which statement is true about the containers?

• The first container will hold about 100 cubic inches more than the second container.

• The second container will hold about 13 cubic inches more than the first container.

• The first container will hold about twice as much as the second container.

• Both containers will hold the same amount.

A square television has a diagonal measurement of 13 inches. About how long is each side of the television?

• 3.3 inches

• 6.5 inches

• 9.2 inches

• 18.4 inches

A spherical snow globe is filled ⁵/₆ full of water. If the diameter of the snow globe is 9 inches, about how much water is in the snow globe?

• 179 in.³

• 239 in.³

• 283 in.³

• 318 in.³

A figure is shown. What is the area of the figure?

• 980 mm²

• 1,176 mm²

• 1,260 mm²

• 1,568 mm²

A cylindrical-shaped swimming pool has a diameter of 14 feet and a height of 5 feet. Approximately how many gallons of water will it take to fill the pool 1 foot from the top?

Note: 1 cubic foot = 7.48 gallons

• 615 gallons

• 4,605 gallons

• 5,755 gallons

• 18,415 gallons

Which are possible lengths of the sides of a right triangle?

• 2 cm, 5 cm, 29 cm

• 2 cm, 6 cm, 8 cm

• 4 cm, 5 cm, 6 cm

• 5 cm, 12 cm, 13 cm

A cone is placed inside a cylinder, as shown. They have the same height and diameter. About how much space is inside the cylinder but outside the cone?

• 314 ft³

• 628 ft³

• 1,257 ft³

• 2,513 ft³

What is the area of rectangle PRSU?

• 30 in.²

• 108 in.²

• 216 in.²

• 2,169 in.²