Question 1

The volume of a $12	ext{-inch-tall}$ cone is $144\pi$ cubic inches. Which statement about the radius of the base of the cone is true?

Accepted Answer

The radius is $6$ inches, and it is a rational number.

Answer

The radius $12\pi$ inches, and it is a rational number.

Answer

The radius is $6$ inches, and it is an irrational number.

Answer

The radius $12\pi$ inches, and it is an irrational number.

Question 2

A balloon in the shape of a crayon is shown below.

The crayon balloon is made up of a cone and a cylinder. What is the volume, in cubic inches, of the crayon balloon?

Accepted Answer

$69.12$

Answer

$138.23$

Answer

$276.46$

Answer

$75.40$

Question 3

Part of a sculpture is a stone sphere with a volume of $36\pi\,	ext{cubic feet}$. What is the radius, in feet, of the stone sphere?

Accepted Answer

3

Answer

12

Answer

9

Answer

6

Question 4

A cone-shaped dispenser is filled with cake frosting. The cone has a radius of $1.5\,	ext{inches}$ and a height of $5\,	ext{inches}$. Which measurement is CLOSET to the volume of cake frosting that the cone-shaped dispenser holds?

Accepted Answer

$11.78\,	ext{cubic inches}$

Answer

$47.12\,	ext{cubic inches}$

Answer

$141.37\,	ext{cubic inches}$

Answer

$3.75\,	ext{cubic inches}$

Question 5

A line segment is graphed on a coordinate grid. The endpoints of the line segment are located at $(-2, 1)$ and $(10, -4)$. The length, in units, of the line segment is equivalent to the height, in centimeters, of a cone. The radius of the circular base of the cone is $5$ centimeters. Which approximation is CLOSEST to the volume, in cubic centimeters, of the cone?

Accepted Answer

$340$

Answer

$183$

Answer

$1,361$

Answer

$497$

Question 6

Michael stacks $14$ identical disks to form a cylinder.

$\qquad\bullet\quad$ Each disk is $\frac{1}{4}\,	ext{inch}$ thick.
$\qquad\bullet\quad$ The diameter of each disk is $3\,	ext{inches}$.

Which measurement is CLOSEST to the volume, in cubic inches, of the stack of disks?

Accepted Answer

$25$

Answer

$99$

Answer

$7$

Answer

$396$

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