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IgorC [24]
4 years ago
9

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o

f the cone?
Mathematics
1 answer:
kolbaska11 [484]4 years ago
8 0
The volume<span> of </span>cylinders<span>. In the earlier lesson, you learned that the </span>volume<span> of the rectangular prism is found by multiplying the area of the base by the </span>height<span> of the prism. ... Example </span>1<span>. This </span>cylinder has<span> a </span>radius<span> of 4 </span>cm and a height<span> of 10 </span>cm<span>. Find its </span>volume<span>. V = B • h. V = (π • r • r) • h. V = (3.14 • 4 • 4) • 10. V = 502.4 </span>cm<span>^3</span>
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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

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Since m∠C = m∠H

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Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

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Divide both sides of the equation by 4

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To determine the measures of angle C and angle H

m∠C = m∠H

 

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Therefore, m∠C = m∠H = 38 degrees
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3 years ago
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