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dsp73
3 years ago
15

What is the volume of the Sphere below?

Mathematics
2 answers:
marysya [2.9K]3 years ago
7 0
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
-----\\
r=3
\end{cases}\implies V=\cfrac{4\pi 3^3}{3}\implies V=36\pi
Travka [436]3 years ago
4 0
ANSWER

The volume of the given sphere is

36 \pi \: units \:  {}^{3}

EXPLANATION

The volume of a sphere is calculated using the formula,

Volume= \frac{4}{3}  \pi \:  {r}^{3}


Where
r = 3 \:  \: units \:
is the radius of the sphere.



We substitute this value into the formula to obtain,


Volume= \frac{4}{3}  \pi \:  {3}^{3}


This simplifies to,

Volume= 4 \pi  \times  {3}^{2}


This will give us,

Volume= 4 \pi  \times  9


We finally multiply out to obtain,

Volume= 36\pi \: units \:  {}^{3}

The correct answer is therefore B.
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A. Equilateral<br> B. Right<br> C. Obtuse<br> D. Acute<br> E. Scalene
faltersainse [42]

<u>Answer:</u>

A) Scalene E) Obtuse


<u>Detailed Explanation:</u>


A) Scalene



This triangle would be classified as scalene because none of the angles are equal.


____________________________________________________________



E) Obtuse



This triangle would be classified as an scalene triangle because one of the angles is larger than 90 degrees.



8 0
3 years ago
Read 2 more answers
A man buys a box of 100 apple in a market for $44. He sells all the apples for $0.5 each. What is his profit or loss? Loss =$ 44
zzz [600]

Answer:

Profit = $6

Step-by-step explanation:

The box of apple that the man bought contained 100 apples.

These 100 apples were gotten for $44

Then he sold the 100 apples for $0.5 each.

So sales price = 0.5 * 100 = $50

To know if he made profit or loss.

Sales price - cost price

$50 - $44

= $6

This man made profit of $6 from the sales of the apples from the calculation above.

4 0
3 years ago
What is the equation of the line that passes through
irinina [24]
Solve equation for y.

5x - y = 3

-y = -5x + 3

y = (-5x + 3)/(-1)

y = 5x - 3

The slope for this equation is 5.

The slope of the equation we want is the negative reciprocal of 5.

Let m = slope of equation we want.

m = -1/5

We are given the point (10,4).

Plug both into the point-slope formula.

y - 4 = (-1/5)(x - 10)

y - 4 = (-1/5)x + 2

y = (-1/5)x + 2 + 4

The equation we want is

y = (-1/5)x + 6

Did you follow?
7 0
3 years ago
Rename 1/2 and 1/5 using the least common denominator.
gladu [14]
C multiply 1/2 by 10 and 1/5 by 2
3 0
3 years ago
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
3 years ago
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