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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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Answer:

\large\boxed{\dfrac{49\pi}{4}}

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

<em>r</em> - radius

We have the endpoints of a diameter of a circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the given points A(3, 4) and B(10, 4):

d=\sqrt{(10-3)^2+(4-4)^2}=\sqrt{7^2+0^2}=\sqrt{7^2}=7

Therefore we have the length of the diameter: <em>d = 7</em>

We know: <em>d = 2r.</em> Therefore

r=\dfrac{7}{2}

Substitute to the formula of an area:

A=\pi\left(\dfrac{7}{2}\right)^2=\dfrac{49\pi}{4}

<em>There is no such answer in the answers to choose.</em>

<em>Apparently you have some error in the coordinates of the endpoints.</em>

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