A cylinder has a volume of 288pi cubic meters and a height of 9 meters. what is the area of the base?
1 answer:
Answer:
100.54m²
Step-by-step explanation:
Given parameters:
Volume of the cylinder = 288pi cubic meters = 288πm³
Height of the cylinder = 9m
Unknown parameter:
Area of the base = ?
Solution
To find the unknown which is the base area of the cylinder, we simply use the formula of the volume of a cylinder.
Volume of a cylinder = Base area x height = πr² x h
where π is a constant
r is the radius of the cylinder
h is the height of the cylinder
From here, we make area the subject of the formula:
Base area(πr²) =
Base area = = 32 π = 100.54m²
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A standard six-sided die is rolled twice and the top faces are observed and the probability that the sum of the numbers on the top faces is 10 is
<u>Solution: </u>
The sample space of two dice outcomes is given as follows:
{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3, 1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4, 1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5, 1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6, 1) (6,2) (6,3) (6,4) (6,5) (6,6) }
Total number of events n(s) = 36
Expected Outcomes = {(4, 6), (5, 5), (6, 4)}
Number of favorable outcomes n(E) = 3
Probability (sum of numbers on the top faces is 10) = =
=
Therefore the probability that the sum of the numbers on the top faces is 10 is