Answer:
The height of the cylinder is 4x units.
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = x/2
Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3
n3^2 x h = 216
h = 216/9 = 24
so the height is 4 times the diameter
Area of the base = nr^2
1/2^2 x x = 1/4 pi x^2
-1/2 is bigger than -8/15
Answer:
ABCD is a parallelogram.
Step-by-step explanation:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA =
(sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
Answer:
90,747
Step-by-step explanation:
Clair delivery=79 per day
Total delivery per year=79×365 days
=28,835
Reagan delivery=2490 per month
Total delivery per year=2490×12 months
=29,880
Anthony delivery= 616 per week
Total delivery per year =616×52 weeks
=32,032
Total delivery altogether in a year=28,835+29,880+32,032
=90,747
The sample of the group would be the 22,000 participants.