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3 years ago

A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

Answer:

$890.75m^3$

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

$V= \pi r^2h$

substitute

$V= 3.142*9^2*3.5\\\\V=890.75 m^3$

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At a competition with 7 runners, medals are awarded for first, second, and

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Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.

To find : How many ways are there to award the medals?

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is $^7P_3$

We know, $^nP_r=\frac{n!}{(n-r)!}$

Substitute the values,

$^7P_3=\frac{7!}{(7-3)!}$

$^7P_3=\frac{7\times 6\times 5\times 4!}{4!}$

$^7P_3=210$

Therefore, Option A is correct.

Permutation; number of ways = 210

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3 years ago

Ann made $143 for 11 hours of work.

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Answer:

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