Question

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The radius of a circular plate increases at the rate of 0.1 cm/sec. At what rate does the area increase when the radius of plate is 11 cm.

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Answer 1

Answer:

Rate of increase of area = 6.908 cm²/s

Explanation:

Given:

The radius of a circular plate increases at the rate of 0.1 cm/s

To Find:

The rate of increase in area when the radius of the plate is 11 cm

Solution:

We know that,

Area of a circular plate = π r²

where r is the radius of the plate.

By given the radius of the plate is increasing at the rate of 0.1 cm/s.

That is,

where t is the time taken

Now we have to find the rate of increase of area,

Substituting the value of area we get,

Differentiating we get,

Substitute the value of dr/dt from equation 1,

Now by given the radius of the plate is 11 cm.

Substituting it,

Rate of increase of area = 0.2 × 3.14 × 11

⇒ 6.908 cm²/s

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.