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Allisa [31]
3 years ago
14

Find the volume of a tennis ball with diameter of 6.7 centimeters. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Westkost [7]3 years ago
8 0

1259.19^3

Step-by-step explanation:

A tennis ball is a sphere

Volume of a sphere ===> v=4/3 πr^3

Plug in the given info

v=4/3(3.14) (6.7)^3

Do the math to get a final answer of:

1259.19^3

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Answer:

Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at  30° angle from the front wall.

Let h be the length of the roof line. And b the depth of the shed.

We can see it is a right angle triangle with opposite 20.2-11.5=8.7\ feet (see the attachment)

Now,

sin(30)=\frac{Opposite}{Hypotenuse}\\ \\sin(30)=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}\\\\h=17.4\ feet

Also,

tan(30)=\frac{Opposite}{Adjacent}\\\\tan(30)=\frac{8.7}{b}\\\\b=\frac{8.7}{tan(30)}\\\\b=\frac{8.7}{0.577}\\\\b=15.07\ feet

So, Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

3 0
3 years ago
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