"The radius of a sphere is increased by 25%. Find the percentage increase in surface area."

Answers

Answer 1
Answer:

Answer:

Therefore, when the radius of a sphere is increased by 25%, the surface area increases by approximately 56.25%.

Explanation:

The surface area of a sphere is given by the formula:   Surface Area = 4πr^2   where r is the radius of the sphere.  

To find the percentage increase in surface area when the radius is increased by 25%, we can follow these steps:  

1. Let's assume the initial radius of the sphere is r.

2. If the radius is increased by 25%, the new radius will be 1.25r (since 25% is equivalent to multiplying by 1.25).  

3. Now, we can calculate the initial surface area (A1) using the formula: A1 = 4πr^2.  4.

Similarly, we can calculate the new surface area (A2) using the formula: A2 = 4π(1.25r)^2 = 4π(1.5625r^2) = 6.25πr^2.  

5. The percentage increase in surface area can be calculated as follows:   Percentage Increase = ((A2 - A1) / A1) * 100

 6. Plugging in the values we obtained earlier,

we have:  Percentage Increase = ((6.25πr^2 - 4πr^2) / 4πr^2) * 100  = ((2.25πr^2) / 4πr^2) * 100  = 56.25%  


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If the pitch of the sound coming out from a speaker increases, which is true about the sound wave?

Answers

If the pitch of a sound increases, then we know that its frequency
has increased, and its wavelength has decreased.

Answer:

B

Explanation:

Because If the pitch of a sound increases, then we know that its frequency  

has increased, and its wavelength has decreased.

Solar energy is: expensive renewable inefficient during winter all of the above

Answers

All of the above is the right answer for Odesseyware.

Solar energy is free and renewable.  

Its efficiency is determined by the photovoltaic or heat-exchanging equipment used, and the efficiency of the infrastructure built to interconnect them.  None of that depends on the time of the year.  For a given amount of solar energy absorbed by the collector, the amount of useful output energy doesn't change with the season.

Which of the following happens in a heat pump?a. the compressor increases the pressure and temperature pf the refrigerant

b. the compressor blows cold refrigerant into the room

c none of the above

Answers

option c. none of the above

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Answers

Answer:

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Answers

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What conditions are typcial of the soil the deeper we dig into it?

Answers

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