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: (10x + 30)
Step-by-step explanation:
1. combine like terms. -4x + 3x = -x
2. you can’t have a negative x, so you would multiply the equation (-x+3) by -1, to get (x-3).
3. (x-3)(10)... 10 • x = 10x, 10 • 3 = 30.
4. put them together, answer would be 10x + 30.
To find the answer, you need to round to the nearest tens. Round 142 to 140 and 1 68 to 160. You know that 1+1=2, and 6+4=10, so 200+100=300 pages read.
Step-by-step explanation:
you add the three p to p and that's 4p and
4p+7-5=-10
4p-2=-10
+2=+2
4p=-8
devide by four on both side so p is-2