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Tom [10]
3 years ago
8

A sphere is dilated by a scale factor of 1.5 to create a new sphere. How does the volume of the new sphere compare with the volu

me of the original sphere?
A) The volume of the new sphere is 1.5 times the volume of the original sphere.
 B) The volume of the new sphere is 3.0 times the volume of the original sphere. 
C) The volume of the new sphere is 1.52 times the volume of the original sphere. 
D) The volume of the new sphere is 1.53 times the volume of the original sphere.
Mathematics
2 answers:
nydimaria [60]3 years ago
8 0

Answer: D


Step-by-step explanation:


Vladimir [108]3 years ago
7 0
Hmm, I am pretty sure the answer is A.
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a line segment has endpoints A (-8,6) and B (4,6). What is the distance in units between point A and B?
lyudmila [28]

Answer:

The distance between point A and point B is 12 units.

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

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3 years ago
The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original
evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

{:\implies \quad \sf 5(s+8)=65}

{:\implies \quad \sf 5s+5\times 8=65}

{:\implies \quad \sf 5s+40=65}

{:\implies \quad \sf 5s=65-40}

{:\implies \quad \sf 5s=25}

{:\implies \quad \sf s=\dfrac{25}{5}=5}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

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