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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3 years ago

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The two parallelograms in the figure are similar. What is the value of x?

puteri [66]

Answer:

The answer is D, 30.4

Step-by-step explanation:

Because the two parallelograms are similar, the relationship between the sides of them are directly proportional.

So:

$\frac{9}{8} =\frac{x}{27}$