Let r = radius, h = height and l = slant height
Lateral area = rlpi
But l = sqrt(r^2 + h^2)
Lateral area = r sqrt( r^2 + h^2) pi = 20 pi..................(1)
Total area = r sqrt( r^2 + h^2) pi + r^2 pi = 36pi......(2)
Subtract (1) from (2)
r^2 pi = 16 pi
r^2 = 16
r = 4 cm
Put this value in (1) to find h
4sqrt(4^2 + h^2) pi = 20 pi
sqrt(16 + h^2) = 5
Square both sides
16 + h^2 = 25
h^2 = 9
h = 3 cm
Now that we know h and r we can find the volume
V = 1/3 pi r^2 h
= 1/3 pi (4^2)(3)
<span>= 16 pi cm^3 .........( = 50.27 cm^3)
I hope my answer has come to your help. God bless and have a nice day ahead!
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Answer:
The range is { -1,3,7,11,15}
Step-by-step explanation:
The range is just the output values
f(-2) = 4(-2) +7 = -8+7 =-1
f(-1) = 4(-1) +7 = -4+7 = 3
f(0)= 4(0) +7 = 7
f(1) = 4(1) + 7 = 11
f(2) = 4(2) +7 = 8+7 = 15
Answer:
144, would be your answer
Step-by-step explanation: Multiply 144 by 9 and you get 1296.
U use y=mx+b to find the slope, and the answer would be m=-3
Answer:
The second number would be 8 or 16
Step-by-step explanation:
Let x be the unknown number,
Since, first number = 17,
So, the difference between x and 17 = |17 - x |
According to the question,
|17 - x | = 9
17 - x = ± 9
17 - x = 9 or 17 - x = -9
17 - 9 = x or 17 + 9 = x
⇒ x = 8 or x = 26
Hence, the second number would be 8 or 26.
