3 years ago

If a group of 25 people are going to run a race. the top 5 finishers advance to the finals.

Mathematics

1 answer:

leonid [27]3 years ago

6 0

Answer:

where's the question?

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3 years ago

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

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3 years ago

Estimate the following difference by rounding each number to the nearest hundred.

Arte-miy333 [17]

1348.5 rounds down to 1300 because 4 is less than 5
567.21 rounds up to 600 because 6 is greater than 5
1300-600=700

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4 years ago

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If a group of 25 people are going to run a race. the top 5 finishers advance to the finals.​

If a group of 25 people are going to run a race. the top 5 finishers advance to the finals.