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inna [77]
2 years ago
15

A cone has a volume of 942 in.³ and a height of 9 inches what is the radius of the cone use 3.14 for pie

Mathematics
1 answer:
bija089 [108]2 years ago
8 0

Answer:

r = 51.96 inches

Step-by-step explanation:

V_{cone} = \pi {r}^{2} h  \\  \\  \implies \: r^{2}  =  \frac{V_{cone}}{\pi h } \\  \\  \implies \:  r^{2} =  \frac{942}{3.14 {(9) } }\\  \\  \implies \:  r^{2} =  \frac{942}{3.14 {(9) } } \\  \\  \implies \:  r^{2} =2700 \\  \\  \implies \:  r= \sqrt{2700}  \\  \\  \implies \:  r=51.96 \: inches

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Hope this helps Answer:

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3 years ago
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3 years ago
Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event
mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = \frac{1}{4}

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = \frac{1}{4}

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = \frac{1}{4}

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = \frac{3}{20}

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = \frac{1}{20}

The probability of Javier to attend no events :-

P ( x = 0 ) = \frac{1}{20}

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = \frac{1}{20} + \frac{1}{20} + \frac{3}{20}   = \frac{1 + 1 + 3}{20}  = \frac{5}{20}  = \frac{1}{4}   = 0.25 = 25 %.

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3 years ago
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What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for .)
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8 0
3 years ago
Read 2 more answers
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