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balandron [24]
3 years ago
15

A cone with volume 246 ft cubic if the height is 15 find the radius

Mathematics
1 answer:
Liula [17]3 years ago
8 0

Answer:

r = 3.95 ft

Step-by-step explanation:

Volume of cone = \frac{1}{3} \pi r^{2} h = 246 ft³

246 = \frac{1}{3} * \frac{22}{7} * r^2 * 15

r² = \frac{246*3*7}{22*15*5}

r = \sqrt{15.65}

r = 3.95 ft

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(EX.) EQUATION : y = p% × x
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4 years ago
In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa
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Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

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^nC_r=\dfrac{n!}{r!(n-r)!}

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^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434

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