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2 years ago

What is the volume of a cylinder with base radius 4 and height 5?

Mathematics

1 answer:

Vsevolod [243]2 years ago

5 0

Answer:

251.2 unit²

Step-by-step explanation:

Radius = 4 unit, height = 5 unit

Volume of cylinder = pi r² h

Where pi(#) = 3.14

Volume = # × 4² × 5

Volume = # × 16 × 5

Volume = 80# unit²

Volume = 80 × 3.14

Volume = 251.2 unit²

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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

m∠H = 5x + 13

Since m∠C = m∠H

9x – 7 = 5x + 13

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

4x = 20

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

To determine the measures of angle C and angle H

m∠C = m∠H

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

Therefore, m∠C = m∠H = 38 degrees

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Answer:

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