Question 1

A party hat is in the shape of a cone with a radius of

3

cm and a height of

10

cm. What is the volume of the party hat? (Use

\pi \approx 3.14

)

Accepted Answer

Answer

Answer

Answer

Question 2

An ice cream cone has a height of

3

cm and a diameter of

10

cm. What is the volume of the cone in terms of

\pi \approx 3.14

?

Accepted Answer

Answer

Answer

Answer

Question 3

The volume of a cone is

3

10

and its height is

\pi \approx 3.14

cm. What is the radius of the base of the cone?

Accepted Answer

<math>5</math> cm

Answer

<math>8.33</math> cm

Answer

<math>25</math> cm

Answer

<math>10</math> cm

Question 4

A conical funnel can hold a maximum of

3

cubic inches of liquid. If the height of the funnel is

10

inches, what is the radius of the funnel's top?

Accepted Answer

<math>4</math> inches

Answer

<math>5.3</math> inches

Answer

<math>8</math> inches

Answer

<math>16</math> inches

Question 5

A cone and a cylinder have the same radius of

3

cm and the same height of

10

cm. What is the ratio of the volume of the cone to the volume of the cylinder?

Accepted Answer

1:3

Answer

1:9

Answer

1:2

Answer

3:1

Question 6

A cone-shaped pile of sand has a radius of

3

meters and a height of

10

meters. If the pile is removed at a rate of

\pi \approx 3.14

cubic meters per hour, approximately how long will it take to remove the entire pile? (Use

\pi \approx 3.14

)

Accepted Answer

<math>18.84</math> hours

Answer

<math>6.28</math> hours

Answer

<math>56.52</math> hours

Answer

<math>188.4</math> hours

Question 7

A cone shaped paper cup has a base diameter of

3

cm and a height of

10

cm. How much water can it hold to the nearest whole number? (Use

\pi \approx 3.14

)

Accepted Answer

Answer

Answer

Answer

Question 8

What happens to the volume of a cone if you double its radius while keeping the height the same?

Accepted Answer

The volume becomes

3

times larger

Answer

The volume becomes

3

times larger

Answer

The volume triples

Answer

The volume doubles

Question 9

A scientist uses a conical flask that is

3

cm tall and has a base radius of

10

cm. If the flask is filled with liquid to exactly half of its total height, and the radius at that liquid level is

\pi \approx 3.14

cm, what is the volume of the liquid inside the flask? (Use

\pi \approx 3.14

)

Accepted Answer

Answer

Answer

Answer

Question 10

The base of a cone has an area of

3

square units. If the height of the cone is

10

units, what is the volume of the cone?

Accepted Answer

94.2

cubic units

Answer

94.2

cubic units

Answer

94.2

cubic units

Answer

94.2

cubic units

Question 11

A party hat is shaped like a cone with a radius of

3

cm and a height of

10

cm. Using

\pi \approx 3.14

, what is the volume of the party hat?

Accepted Answer

<math>66</math> cm³

Answer

<math>198</math> cm³

Answer

<math>22</math> cm³

Answer

<math>132</math> cm³

Question 12

If a cone has a base diameter of

3

inches and a height of

10

inches, what is its volume in terms of

\pi \approx 3.14

?

Accepted Answer

94.2

cubic inches

Answer

94.2

cubic inches

Answer

94.2

cubic inches

Answer

94.2

cubic inches

Question 13

A cone-shaped paper cup has a height of

3

cm and a radius of

10

cm. What is the volume of the cup? (Use

\pi \approx 3.14

for

\pi \approx 3.14

)

Accepted Answer

<math>150.72</math> cm³

Answer

<math>50.24</math> cm³

Answer

<math>452.16</math> cm³

Answer

<math>37.68</math> cm³

Question 14

The volume of a cone is

3

cm³ and its height is

10

cm. What is the area of its circular base?

Accepted Answer

<math>25</math> cm²

Answer

<math>300</math> cm²

Answer

<math>75</math> cm²

Answer

<math>8.33</math> cm²

Question 15

Two cones have the same height, but the second cone has a radius that is double the radius of the first cone. If the volume of the first cone is

3

cm³, what is the volume of the second cone?

Accepted Answer

<math>60</math> cm³

Answer

<math>45</math> cm³

Answer

<math>30</math> cm³

Answer

<math>120</math> cm³

Question 16

An ice cream cone has a volume of

3

cubic units and a height of

10

units. What is the length of the radius of the base of the cone?

Accepted Answer

<math>4</math> units

Answer

<math>16</math> units

Answer

<math>2</math> units

Answer

<math>8</math> units

Question 17

A cylinder and a cone have the same radius and the same height. If the volume of the cylinder is

3

cubic inches, what is the volume of the cone?

Accepted Answer

94.2

cubic inches

Answer

94.2

cubic inches

Answer

94.2

cubic inches

Answer

94.2

cubic inches

Question 18

A conical funnel can hold exactly

3

cubic centimeters of liquid. If the radius of the funnel is

10

cm, what is its vertical height? (Use

\pi \approx 3.14

)

Accepted Answer

<math>3</math> cm

Answer

<math>6</math> cm

Answer

<math>1</math> cm

Answer

<math>9</math> cm

Question 19

If the height of a cone is tripled but the radius remains the same, how many times larger is the volume of the new cone compared to the original?

Accepted Answer

94.2

times larger

Answer

94.2

times larger

Answer

94.2

times larger

Answer

94.2

times larger

Question 20

A cone has a volume of

3

cubic units. If its height is

10

units, what is the radius of the cone?

Accepted Answer

<math>4</math> units

Answer

<math>12</math> units

Answer

<math>16</math> units

Answer

<math>5</math> units

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