Question

A large diamond with a mass of 4289.6 grams was recently discovered in a mine. If the density of the diamond is 3.51 grams over centimeters cubed, what is the volume? Round your answer to the nearest hundredth.

142.78 cm3

384.96 cm3

1221.9 cm3

33759.15 cm3

Answer 1

@Compassionate

Answer 2

1221.9 cm3

Answer 3

A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram?

432.3 kg

284.2 kg-----<<<<

2,043.7 kg

5,435.3 kg

Answer 4

What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

78.13 ft2

82.43 ft2 ------<<<<

86.31 ft2

91.98 ft2

Answer 5

Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (-3, 5) and a radius of 24. What steps will help show that circle A is similar to circle B?

Translate circle A using the rule (x+3, y−1).

Rotate circle A 180° about the center.

Dilate circle A by a scale factor of 4. ------<<<<<

Reflect circle A over the line y=x.

Answer 6

The volume of a cone that fits exactly inside a cylinder is 20 cubic feet. What is the volume of the cylinder?

4 cubic feet

5 cubic feet

40 cubic feet

60 cubic feet ------<<<<<

Answer 7

A circle is represented by the equation below:

(x - 9)2 + (y + 8)2 = 16

Which statement is true?

The circle is centered at (−9, 8) and has a radius of 8.

The circle is centered at (9, −8) and has a diameter of 8. -----<<<

The circle is centered at (9, −8) and has a radius of 8.

The circle is centered at (−9, 8) and has a diameter of 8.

Answer 8

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. What is the volume of the cube?

6 cubic feet

18 cubic feet

54 cubic feet -----<<<

72 cubic feet

Answer 9

Wow, thanks :)