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3 years ago

What is the volume of a sphere with a radius of 41.8 in, rounded to the

Mathematics

1 answer:

ollegr [7]3 years ago

3 0

Answer:

305966.4in³

Step-by-step explanation:

Given parameters:

Radius of the sphere = 41.8in

Unknown:

Volume of the sphere = ?

Solution:

The volume of sphere is expressed as:

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

r is the radius;

Input the parameters and solve;

V = $\frac{4}{3 }$ x $\pi$ x 41.8³

V = 305966.42in³

To nearest tenth of a cubic inch;

V = 305966.4in³

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The population of a city has increased by 27% since it was last measured. If the current population is 38,100, what was the prev

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3 years ago

Read 2 more answers

Samuel can do 120 jumping jacks in two minutes.

ki77a [65]

Answers:

What is the ratio? 120:2

What is the unit rate? 60:1

What is the rate? 60 jumping jacks per minute

===================================================

Further Explanation:

To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.

--------

Once we have 120:2, we divide both parts by 2 to get 60:1

120/2 = 60

2/2 = 1

The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"

-------

Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.

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