This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by:
(volume of larger solid)/(volume of smaller solid)
=729/125
but
linear scale factor=(volume scale factor)^1/3
thus the linear scale factor will be:
(729/125)^1/3
=9/5
Also, area scale factor will be given by:
area scale factor=(linear scale factor)^2
=(9/5)^2
=81/25
The area of the larger solid will be given by:
let the area be A;
A/74.32=81/25
thus
A=81/25*74.32
A=240.7968 inches^2
<span>3.49857113691</span><span>km ..............................................................................
</span>
Answer:
Step-by-step explanation:
c.) as it is shown in both as a true statement
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We are given area of the spherical lampshade = 57.76 \pi square inches.
We know formula of area of a spherical shape:

Plugging area A= 57.76 π in formula, we get

Dividing both sides by 4π, we get


Taking square root on both sides, we get

r =3.8.
<h3>Therefore, the radius of the lampshade is 3.8 inches.</h3>