Hey there :)
The volume formula of a cylinder is:
V =

r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =

r²(18)

=

r²
536 =

r²

= r²

= r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is
2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =

(6.53)²(9)
= 1206 in³
Answer: 7^5 or 7 to the fifth power.
Step-by-step explanation: This is an exponent meaning you count the 7’s and in the first picture there’s 5 7’s. This means that the number your putting to a power is the yellow box so that’s 7 and the exponent is 5 not 4 because if you did 7 to the first power it’s still 7 so it would be 7 to the 5th power or 7^5
2 which is the height and 15 would be the width.
< uji and < pik are corresponding angles
corresponding angles are the angles in matching corners
The area if the shaded region is 32. The blue squares area is 36 but the part that’s cut off has an area of 4. 36-4 equals 32. So that’s the answer!