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Alex777 [14]
2 years ago
11

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed

Mathematics
1 answer:
nikklg [1K]2 years ago
6 0

Answer:

Start with the formulas for the volumes of the sphere and cyl. respectively:

Vs = (4/3)*pi*r^3                        Vc = pi*r^2*h

Here, sphere and cyl. have the same radius and height.  Thus, the diam. of the sphere, d = 2r, has the same value as does h.

Thus, Vs = (4/3)*pi*r^3    and     Vc = pi*r^2*(2r) = 50.  Thus, pi*r^3 = 50, or

                                                                                                    r^3 = 50/pi

Then Vs = (4/3)(pi)*(50/pi) = 200/3 ft^3

Unfortunately, this doesn't agree with any of the answer choices, 'though it's close to given choice 100/3 ft^3, off by a factor of 2.

The trick here is to eliminate variables (especially the cyl. ht., h) and to make appropriate substitutions.

Step-by-step explanation:

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Answer:

Hello!

Let's simply divide our two numbers to find how many carriages we need.

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Therefore, our answer is 6.

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Leviafan [203]

Answer:

Step-by-step explanation:

\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

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= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y

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