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Surface Area and Volume of Cylinders homework?

Ok i need the volume and surface area of each one of these cylinders. First 11.5(height) by 6(width). Second 5.5 by 3. Third and last 110 by 60 Please and thanks

6 Answers

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  • 1 decade ago
    Favorite Answer

    A= 2 π(r)h+4π(r²)

    V=π(r²)h

    1)11.5(height) by 6(width)

    h= 11.5

    r= 6/2 = 3

    A= 2 π(3)(11.5)+4π(3)²

    A=69π+36π

    A=105π

    A≈ 329.87

    V=π3²(11.5)

    V=103.5π

    V≈ 325.15

    Answer: A=105π, V=103.5π

    2.) h=5.5 w=3

    r=3/2= 1.5

    A= 2 π(1.5)(5.5)+4π(1.5)²

    A=16.5π+9π

    A=25.5π

    A≈ 80.11

    V=π(1.5)²(5.5)

    V=12.375π

    V≈ 38.88

    Answer: A=25.5π, V=12.375π

    3)h=110 w=60

    r=60/2 = 30

    A= 2 π(30)(60)+4π(30)²

    A=3600π+3600π

    A=7200π

    A≈ 22,619.47

    V=π(30)²(110)

    V=99,000π

    V≈ 311,017.67

    Answer: A=7200π, V=99,000π

    Hope that was helpful! Best Answer?

  • 5 years ago

    Surface area includes the two bases and the side of the cylinder. SA = 2(pi)r^2 + 2(pi)rh your radius is (1/2)65 = 65/2mm and your h = 70mm Volume will be cubic so (pi)r^2 times h = volume.

  • 1 decade ago

    Here are your Volume answers: Volume = pi x r2 x height

    1. pi = 3.14159 r=3

    3.14159 x 9 x 11.5 = 325.154565

    2. 3.14159 x 2.25 x 5.5 = 38.87717625

    3. 3.14159 x 900 x 110 = 311,017.41

  • 1 decade ago

    i take it you mean diameter when you say WIDTH ?

    also you need to know that it is a right circular cylinder - if so then see earlier answers, where d is diameter.

    for surface area you need also to know whether the cylinder is CLOSED i.e. it has a lid and base or OPEN i.e. no lid or base

    Source(s): any maths text book year 9 or greater
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  • 1 decade ago

    Sa = pi * d * height

    Vol = pi d^2 /4 * height

    you do the math

  • 1 decade ago

    you need to know the radius of the base to find the answers!

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