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Serga [27]
3 years ago
15

What is the surface area of the sphere?

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

<em>The surface area of the sphere is 314 mi².</em>

Step-by-step explanation:

According to the given diagram, the diameter of the sphere is 10 mi.

If the radius is r, then diameter =2r

So....

2r=10\\ \\ r=\frac{10}{2}= 5

<u>Formula for the surface area of a sphere</u>:  A_{S}= 4\pi r^2

Plugging the value of r into this formula, we will get...

A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314

So, the surface area of the sphere is 314 mi².

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2 years ago
Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24
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A homeowner hires a mason to lay a brick border around a rectangular patio that measures 8 ft by 10 ft. If the total area of the
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Width of border = 1 ft

Step-by-step explanation:

Total Area = 99 ft²

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3 years ago
The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs
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Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= 5+3.5

= 8.5 \ minutes

The mean arrival rate will be:

\lambda =\frac{60}{5}

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The mean service rate will be:

\mu= 7.05 \ cabs/hr

(1)

The average time a cab must wait will be:

⇒ W_q=22.95-\frac{1}{7.05}

⇒       =\frac{161.798-1}{7.05}

⇒       =\frac{160.798}{7.05}

⇒       =22.81 \ minutes

(2)

The required probability will be:

⇒ P(X\geq 6)=\frac{1-2.115}{1-7.5}

⇒                  =\frac{-1.1115}{-6.5}

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6 0
2 years ago
4.1g + 8= 1.1g + 14 what is g?
Monica [59]

Answer:

Step-by-step explanation:

5.2g +8=0

5.2g=-8

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8 0
3 years ago
Read 2 more answers
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