Answers SSCR 26 Math Essentials BIntroduction to the Volume of a Sphere

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What is the volume of this rectangular prism?

30.75 cm

61.5 cm

147.6 cm

295.2 cm

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What is the area of a circle with a radius of 6 inches?

9 pi inches squared

12 pi inches squared

36 pi inches squared

81 pi inches squared

What is the area of a circle with a radius of 7 cm? (Use 3.14 for and round to the nearest tenth.)

38.5 centimeters squared

44.0 centimeters squared

150.0 centimeters squared

153.9 centimeters squared

What is the radius of this circle if the circumference is cm? cm

3 cm

9 cm

18 cm

36 cm

What is the volume of this triangular prism?

182 m

195 m

210 m

390 m

Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio’s work to find the length of side AB.What is the perimeter of quadrilateral ABCD?

15 units

17 units

18 units

20 units

Which statements are true about triangle XYZ? Select three options.

XY measures units.

YZ measures units.

ZX measures units.

XYZ is a right triangle.

XYZ is a scalene triangle.

A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for .

976.24 mm

976.54 mm

1,852.08 mm

1,953.08 mm

Point A lies on the circle and has an x-coordinate of 1.

Option

Question text not available

18 + units

The diameter of a circle is 4 cm. Which equation can be used to find its circumference?

C = pi times 2

C = pi times 4

C = StartFraction pi times 4 over 2 EndFraction

C = StartFraction pi times 4 over 4 EndFraction

What does volume measure?

the amount of space occupied by a two-dimensional solid object

the total area of all the surfaces of a three-dimensional solid object

the amount of space inside the boundary of a two-dimensional object

the amount of space occupied by a three-dimensional solid object

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?

A comparison of the area and circumference is not possible since the area cannot be determined.

The numerical value of the circumference and area are equal.

The numerical value of the circumference is greater than the numerical value of the area.

The numerical value of the circumference is less than the numerical value of the area.

A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?

A comparison of the area and circumference of the circle is not possible because there is not enough information to find both.

The numerical values of the circumference and area are equal.

The numerical value of the circumference is greater than the numerical value of the area.

The numerical value of the circumference is less than the numerical value of the area.

Which equation can be used to find the volume of this solid?

V = StartFraction 7 + 6 over 2 EndFraction times 8

V = StartFraction 7 + 6 + 8 over 2 EndFraction

V = StartFraction 7 times 6 over 2 EndFraction times 8

V = StartFraction 7 times 6 over 2 EndFraction + 8

What is the circumference of the circle? Use for .

44 cm

55 cm

100 cm

110 cm

Point A lies on the circle and has an x-coordinate of –3.

Option

2.5

Option

2.8

What is the name of part B in the sphere below?

radius

diameter

center

great circle

Which is the correct first step in finding the height of a cylinder with a volume of cubic inches and a radius of 8 inches?

V = pi r squared h. 8 = pi (178) squared h

V = pi r squared h. V = pi + (8) squared + 178 pi

V = pi r squared h. V = pi (8) squared (178)

V = pi r squared h. 178 pi = pi (8) squared h

Alanna is painting a border along the top of a wall. The border consists of kite-shaped figures as shown. Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?

216

432

864

1,728

Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC. What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

12.0 units

12.4 units

15.0 units

15.4 units

A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3.14 for .

192.00 cubic centimeters

301.44 cubic centimeters

602.88 cubic centimeters

2,411.52 cubic centimeters

Sarah only knows the diameter of a circle. What should she do to find the radius?

Multiply the diameter by 2.

Divide the diameter by 2.

Multiply the diameter by .

Divide the diameter by .

A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4.5 feet deep across the entire pool. What is the volume of the swimming pool, in cubic feet?

108

324

1,728

What is the circumference of this circle, in centimeters? Use for .

207.4

346.5

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