Question 1

A cone has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of a cubic inch, of the cone?

Accepted Answer

4.4

Answer

10.6

Answer

13.1

Answer

3.6

Question 2

A cylinder has a diameter of $14$ centimeters and a volume of $112\pi$ cubic centimeters.
What is the height, in centimeters, of the cylinder?

Accepted Answer

$\frac{16}{7}$

Answer

$4$

Answer

$16$

Answer

$\frac{4}{7}$

Question 3

An above-ground swimming pool in the shape of a cylinder has a diameter of $18\, 	ext {feet}$ and a height of $4.5\,  	ext {feet}$. If the pool is filled with water to $6\, 	ext {inches}$ from the top of the pool, what is the volume, to the nearest cubic foot, of the water in the pool?

Accepted Answer

$1,018$

Answer

$4,072$

Answer

$226$

Answer

$452$

Question 4

Two types of shipping boxes are shown below.

What is the difference in the surface areas, in square feet, of the two boxes?

Accepted Answer

3

Answer

21

Answer

30

Answer

2

Question 5

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

What is the volume, in cubic centimeters, of the object?

Accepted Answer

$32\pi$

Answer

$44\pi$

Answer

$40\pi$

Answer

$128\pi$

Question 6

The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.
What is the volume, to the nearest tenth of a cubic inch, of the plastic object?

Accepted Answer

97.6

Answer

100.4

Answer

91.7

Answer

103.5

Question 7

What is the volume, in terms of $\pi$, for a cylindrical container with a radius of 3.25 centimeters and a height of 10 centimeters?

Accepted Answer

$105.625 \pi cm^3$

Answer

$422.5 \pi cm^3$

Answer

$331.83 \pi cm^3$

Answer

$65 \pi cm^3$

Question 8

A company makes two different sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5 inches. About how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone?

Accepted Answer

18.8

Answer

225.5

Answer

56.4

Answer

75.2

Question 9

Patty has a flower box in the shape of a rectangular prism with interior dimensions that are $15$ inches in length, $8$ inches in width, and $6$ inches in height. Patty will fill the flower box $\frac{3}{4}$full of soil. How many cubic inches of soil will be in the flower box?

Accepted Answer

$540$

Answer

$516$

Answer

$720$

Answer

$387$

Question 10

Two solids are described in the list below.
$\bullet\enspace$ One solid is a sphere and has a radius of $6$ inches.
$\bullet\enspace$ The other solid is a cylinder with a radius of $6$ inches and a height of $6$ inches.

What is the difference between the volumes, in cubic inches, of the solids in terms of $\pi$?

Accepted Answer

$72\pi$

Answer

$144\pi$

Answer

$288\pi$

Answer

$216\pi$

Question 11

A cylinder and a cone have congruent heights and radii. What is the ratio of the volume of the cone to the volume of the cylinder?

Accepted Answer

$1:3$

Answer

$1:6$

Answer

$1:1$

Answer

$1:9$

Question 12

A cylinder has a radius of $3$ inches and a height of $4\frac{3}{4}$ inches. A sphere has a radius of $3$ inches. What is the difference between the volumes, to the nearest tenth of a cubic inch, of the cylinder and the sphere?

Accepted Answer

$22.2$

Answer

$96.6$

Answer

$51.8$

Answer

$68.3$

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