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:
20?
Step-by-step explanation:
Answer: x = 135 degrees and y = 225 degrees.
Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.
4/52= 0.07692 so it would be C. 0.077
Answer:
Velocity = 59 feet/second
Step-by-step explanation:
h(t) = 15 + 60t – 16t2
Time t = 1 second
Let's substitute time into the equation to get the distance
h(t) = 15+60(1)-16(1)²
h(t) = 15 + 60 - 16
h(t) = 59 feet
Speed or velocity = distance/time
Distance = 59 feet
Time = 1 second
Velocity = 59/1
Velocity = 59 feet/s