Big Ideas Chapter 10 Review

Big Ideas Chapter 10 Review

Multiple Choice

Two spheres have a similarity ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  What is the surface area of the larger sphere.

• 48 ft²
• 144 ft²
• 432 ft²
• 32 ft²

Multiple Choice

The two figures are similar. What is the scale factor of the smaller prism to the larger?

• $\frac{729}{1331}$

• $\frac{9}{11}$

• $\frac{81}{121}$

• $\frac{243}{444}$

Multiple Choice

Find the ratio of the volume of the first figure to the second.

• 4:3

• 16:9

• 64:27

• 12:9

Multiple Choice

What would be the appropriate volume for the larger pyramid?

• 8 yd³

• 2 yd³

• 4 yd³

• 16 yd³

Multiple Choice

A cylinder that is 19 cm tall has a volume of 14,340.59 cm³. What is the radius of this cylinder?

• 14
• 14.7
• 15.5
• 16

Multiple Choice

What is the formula for volume of a SPHERE?

• $V=\frac{4}{3}\pi r^3$

• $V=\frac{1}{3}\pi r^2$

• $V=\pi r^2$

• $V=\frac{1}{3}Bh$

Multiple Choice

A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?

• 1

• 2

• 3

• 4

Multiple Choice

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

• 345.8
• 523.6
• 1436
• 205.1

Multiple Choice

A sphere has the volume of 905 cm. What is the radius of the sphere rounded to the nearest whole number?

• 6
• 9
• 3
• 12

Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

• 113.0 in³

• 37.7 in³

• 339.1 in³

Multiple Choice

Find the volume of this shape

• 1520.53

• 276.46

• 552.93

• 6082.12

Multiple Choice

Is the red line a radius or diameter of the circle?

• Radius
• Diameter

Multiple Choice

What is the volume of both shapes?

• 150 cm³

• 65 cm³

• 300 cm³

• 225 cm³

Multiple Choice

What is the formula for VOLUME of a CYLINDER?

• $V\ =\ Bh$

• $V\ =\ \frac{1}{3}Bh$

• $V\ =\ bh$

• $V\ =\ \pi r^2$

Multiple Choice

What is the formula for Volume of a Cone?

• V=π r³h

• V=π r²h

• V=(1/3)π r²h

• V=(4/3)π r³

Multiple Choice

Find the height of a cone with a volume of 31 cubic feet and a radius of 4 ft.

• 1.8 ft

• 1.3

• 3.9 ft

• 3.9

Multiple Choice

Find the radius of a cone with a volume of 175 cubic cm and a height of 21 cm.

• 7.84 cm

• $7.84\ cm^3$
  

• $2.8\ cm^3$

• 2.8 cm

Multiple Choice

If two similar figures have a scale factor of 4:9 and the smaller figure has a volume of 1536 cubic cm, what is the volume of the larger figure?

• 3051

• 7776

• 17, 496