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igor_vitrenko [27]
3 years ago
5

Find the surface area and volume of each cylinder:

Mathematics
2 answers:
IgorC [24]3 years ago
5 0

Answer:

a) surface area: 125pi     volume: 187.5pi

b) (i dont know what you mean by "in terms of ." so ill give both)

surface area: 210pi or 659.734     volume: 61.25pi or 192.422

Step-by-step explanation:

a) <em>surface area is this</em>

2pirh+2pir^2

plug it in..

2pi(5)(7.5)+2pi(5)^2

simplify...

75pi+50pi

125pi

<em>volume is this</em>

pir^2h

plug it in...

pi(5)^2(7.5)

simplify...

187.5pi

b is basically same steps.

(i had to replace all the pi symbols with "pi" because it was inappropriate???)

alexandr402 [8]3 years ago
4 0

Cylinder A -

Surface Area:

<em>A = 2πrh + 2πr^2</em>

<em>A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908</em>

<em>A = </em>392.7 cm^2

Volume:

<em>V = πr^2h</em>

<em>V = π · 25 · 7.5 ≈ 589.04862</em>

<em>V = </em>589 cm^3

Cylinder B -

Surface Area:

<em>A = 2πrh + 2πr^2</em>

<em>A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476</em>

<em>A = </em>186.9 cm^2

Volume:

<em>V = πr^2h</em>

<em>V = π · 12.25 · 5 ≈ 192.42255</em>

<em>V = </em>192.4 cm^3

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