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Fittoniya [83]
3 years ago
9

Suppose planet A's diameter is approximately 8 times planet B's and both bodies are spheres. What is the ratio of their volumes?

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

The ratio of planet B's volume to planet A's volume is 1:512 or 1/512

Step-by-step explanation:

Volume of sphere = 4/3 π r^3

r = d/2

Radius of palnet A = 8/2 = 4

Radius of planet B = 1/2

Since 4/3 π is same in both volumes so, they cancel out when finding ratio.

Now ratio depends on radius cube of both planets

Volume of Planet B : Volume of Planet A

4/3 π(1/2)^3 :  4/3 π(4)^3

Cancelling  4/3 π on both sides

1/8 : 64

Multiply 8 on both sides

1 : 512

So, The ratio of planet B's volume to planet A's volume is 1:512 or 1/512

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Answer:

The total charge for these tickets when paying by credit card is £ 90.64.

Step-by-step explanation:

Since Billy wants to buy 4 adult tickets at £ 15 each and 2 child tickets at £ 10 each for a show, and a 10% booking fee is added to the ticket price, and 3% is then added for paying by credit card, for work out the total charge for these tickets when paying by credit card the following calculation must be performed:

((4 x 15 + 2 x 10) x 1.10) x 1.03 = X

((60 + 20) x 1.10) x 1.03 = X

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Thus, the total charge for these tickets when paying by credit card is £ 90.64.

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