Answer:
X =10
Step-by-step explanation:
If you have a scientific calculator that can help you a lot.
I will upload a picture you can follow to solve this problem.
Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so

we have
----> scale factor
substitute



therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter

the volume of the reduced sphere is
---> the radius is half the diameter

Divide the volumes

Answer:
480in^3
Step-by-step explanation:
Answer:
The Pythagorean theorem is a^2+b^2=c^2 where c is the length of the longest, diagonal side (diagonal means opposite the right angle/small square).
Step-by-step explanation:
If you're looking for a short side (i.e. next to the right angle), square the longest one and subtract the square of the other known.
If you're looking for a long side (i.e. opposite the right angle), square both you know and add them together.
In both cases, take the Square Root with your calculator, or by trial and error, find a number that squares to make your current number.
[1] A square of the number x is x times x.