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Alika [10]
2 years ago
8

A solid shape is made by joining two cones.

Mathematics
1 answer:
dlinn [17]2 years ago
3 0

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

<h3>How to determine the radius?</h3>

The given parameters are:

  • Cone 1: slant height, l = 2r
  • Cone 2: slant height, L = 3r
  • Surface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

brainly.com/question/6613758

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8\pi\text{ square cm}

Step-by-step explanation:

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Differentiating with respect to r,

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=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})

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Again differentiating with respect to r,

\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})

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\frac{dS}{dt}=0

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Hence, the surface area is maximum if r = √2,

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S = 2\pi (\sqrt{2})(\sqrt{16-8})

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What is the solution set for 2x+5y&gt;-1 and 4x-3&lt;-3?
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PROBLEM ONE

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Solving for x in 2x + 5y > -1.

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Step 1 ) Subtract 5y from both sides.

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Step 2 ) Divide both sides by 2.

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So, the solution for x in 2x + 5y > -1 is...

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Step 1 ) Subtract 2x from both sides.

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- <em>Marlon Nunez</em>

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