Find the volume of the composite figure. Give your answer in terms of pi.

Mathematics

1 answer:

Sloan [31]2 years ago

7 0

Volume of cone= 1/3 πr²*h
15²=10²+h²
h²=15²-10²=125
h=√125
Volume of cone= 1/3 *π*100*√125=π/3*(100*5√5)=500π√5/3
Volume of sphere=4/3*π*r³=4/3*π*1000=4000π/3
Volume of half sphere=(4000π/3)/2=2000π/3
All Volume=500π√5/3+2000π/3

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2(x + 1)

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2 years ago

Is 3/4y=9 true or false

amm1812

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Answer:

Let's solve your equation step-by-step.

3 / 4 y = 9

Step 1: Multiply both sides by 4/3.

(4 / 3 ) * ( 3 / 4 y ) = ( 4 / 3 ) * ( 9 )

y = 12

Answer:

y = 12

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Insert 12 to the y value:

3 / 4 ( 12 ) = 9

9 = 9

True

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2 years ago

Read 2 more answers

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

shtirl [24]

Answer:

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability $\frac{1}{2}$ and looses with probability $\frac{1}{2}.$ Let $P(W_R)$ be probability that Roses win and $P(L_R)$ be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

$P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}$