LEAP 2025 Geometry Chapter 10

DOK: 2
1 pt

2.

What is the volume of the following oil tank? Round your answer to the nearest hundredth. Use the formula $V={\mathrm{\pi r}}^{2}\mathrm{h}$, where $V={\mathrm{\pi r}}^{2}\mathrm{h}$.

A

18.84 yd${}^{3}$

B

37.68 yd${}^{3}$

C

44.48 yd${}^{3}$

D

75.36 yd${}^{3}$

DOK: 2
1 pt

4.

What is volume of the box shown below? *V=lwh*

A

22.5 cm${}^{3}$

B

337.5 cm${}^{3}$

C

1875 cm${}^{3}$

D

2250 cm${}^{3}$

DOK: 2
1 pt

9.

What shape is the vertical cross section of a cone?

A

triangle.

B

circle.

C

oval.

D

square.

DOK: 3
1 pt

12.

An architect is designing a concert hall. He plans on building a 2nd floor balcony located 30 feet away from the stage and wants it to be at an angle of 40° to the vertical from the floor of the stage. If the stage is 2 feet higher than ground level, then how high should he build the balcony from the ground floor? Round your answer to the nearest hundredth.

A

35.75 feet

B

37.75 feet

C

39.75 feet

D

41.75 feet

DOK: 2
1 pt

16.

What is the reduced ratio of the surface areas of the following two spheres?

Use the formula $SA=4{\mathrm{\pi r}}^{2}$, where $\mathrm{\pi}\approx 3.14$.

A

1:2

B

1:4

C

1:1

D

1:$\frac{1}{2}$