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dexar [7]
1 year ago
10

A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th

e ring-shaped solid that remains.
Mathematics
1 answer:
masya89 [10]1 year ago
3 0

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

#SPJ4

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Step-by-step explanation:

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There are 86,400 seconds in a day. 24 (hr) x 3,600 (sec)

Now we need to find how many seconds are in a year.

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365 x 86,400 = 31,536,000

Whew! Now that we have that out the way, we can now divide $1 billion by 31,536,000 seconds.

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3 years ago
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11) If A = {19, 20, 21, 24} and B = {17, 19, 20, 22), list the elements of A U B.
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The symbol U is the union symbol, which denotes the union of two sets.

This means that given two sets A and B, the expression

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In this problem, we have the following two sets:

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We can therefore list all the elements belonging to either set A or set B, they are:

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So, the expression A U B indicates the set:

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Step-by-step explanation:

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