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3 years ago

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Raj builds a side table in the shape of a cube. Each edge of the cube measures 30inches. Raj wants to cover the top and four sid

es of the table with ceramic tiles. Each tile has an edge length of 6inches. How many tiles will we need?

1 answer:

Lelu [443]3 years ago

5 0

Answer:

deportation

Step-by-step explanation:

deport raj

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A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder

yawa3891 [41]

Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi

Step two
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0

3 years ago

What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = <u>9</u><u> </u>cm which means <u>Option </u><u>C </u>is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = <u>2</u><u>2</u><u>5</u><u>π</u><u> </u><u>cm³</u>

Radius of cylinder = <u>5 cm</u>

And , we have to find the <u>height</u><u> of</u><u> </u><u>cylinder</u><u> </u>.

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

<u>Step </u><u>1</u><u> </u><u>:</u> Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

<u>Step </u><u>2</u><u> </u><u>:</u> Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

<u>Step </u><u>3 </u><u>:</u> Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

<u>Step </u><u>4</u><u> </u><u>:</u> Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

<u>Henceforth</u><u> </u><u>,</u><u> </u><u>height</u><u> </u><u>of </u><u>cylinder</u><u> is</u><u> </u><u>9</u><u> </u><u>cm</u>

<h2 /><h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

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2 years ago

Which ordered pair is not in the solution set of

Fed [463]

Answer:

the pair that is not a solution is d

Step-by-step explanation:

5 > 2(2) + 1

5 > 4 + 1

5 > 5

it is equal to and not greater than

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3 years ago

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The volume of a pyramid is 37cm3. Its base area is 6cm2. What is its height? Round your answer to the nearest tenth of a unit.

STALIN [3.7K]

Answer 3.1

Here's the formula:

V= $\frac{lwh}{3}$

H=3 $\frac{V}{lw}$

3 · $\frac{37}{6x6}$ ≈ 3.08333

rounded to : 3.1

(P.S. I also Used a calculator)

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2 years ago

Subtract 42.5 – 7.32 = _____

denpristay [2]

Step-by-step explanation:

42.5 – 7.32 = __35.18___

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