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shepuryov [24]
2 years ago
11

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

Mathematics
1 answer:
enyata [817]2 years ago
6 0

Correct question:

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

Answer:

6 units

Step-by-step explanation:

Let, radius, r = x

Height, h = 3x

Volume, V = 24π

Volume of cylinder = =πr²h

24π = π * x² * 3x

24π = π* 3x³

24 = 3x³

24 / 3= x³

8 = x³

x = 2

Height, h = 3x

h = 3(2) = 6 units

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Dmitriy789 [7]

Answer:

a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Step-by-step explanation:

x^{2} +8x = 38

Add 16 to both sides.

x^{2} +8x+16 = 38 + 16

(x+4)^{2} =54

x + 4 = \sqrt{54} or x + 4 = -\sqrt{54}

x+4=3\sqrt{6} or x+4=-3\sqrt{6}

x=-4+3\sqrt{6} or x=-4-3\sqrt{6}

Therefore, a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long unti
Bogdan [553]

Answer: 7 hr

Step-by-step explanation:

Given

Distance between Emily and Kylie is 140\ \text{miles}

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Katy and Jane construct a four-sided wall to surround their castle. The wall has a perimeter of
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Answer:

The correct length is <em>34 feet</em>.

Step-by-step explanation:

Let us assume that the wall created is a rectangle <em>ABCD</em> as shown in the attached image.

We know that opposite sides of a rectangle are equal.

<em>Perimeter</em> of a <em>closed figure is calculated by adding all the sides of the figure</em>.

Here, from the figure, the perimeter is : AB + BC + CD + DA

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