Consider this sphere with a diameter of 5 m.
What can be concluded about the sphere? Check all
that apply,
The sphere has a radius of 10 cm.
The diameter measure is substituted into the
formula to find the volume.
5 m
The radius is half the diameter.
The formula to apply is y=- Bh
The volume of the sphere is two-thirds the volume
of a cylinder with the same radius and height.

9514 1404 393

Step-by-step explanation:

Regardless of the diameter, the radius is half the diameter. For this sphere, it is 5/2 m = 2.5 m.

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The height of the sphere is equal to its diameter, so is 2r. The volume of a cylinder with radius r and height 2r is ...

  V = πr²h = πr²(2r) = 2πr³

The volume of a sphere with radius r is ...

  V = 4/3πr³

Then the ratio of sphere volume to cylinder volume is ...

  (4/3πr³)/(2πr³) = (4/3)/2 = 2/3

The sphere volume is 2/3 that of a cylinder with the same radius and height.

step-by-step explanation:

the answer is 128

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.