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Circumference of the cylinder a cylinder of the base with the diameter of 6cm and height of 12cm

2 Answers

11 votes

Answer:

To find the volume, we must find the area of the circle and multiply it by its height, think of a cylinder as an object made up of MANY circles. So, V=pir^2h... so diameter is 6cm so radius = 3cm...

therefore, Volume = (pi)(3^2)(12) = 108(pi)

where 12 = height 3 = radius

For the surface area, we need to find the area of the 2 circles(top and bottom ) so once again,

2(pi)(r^2) = 2(pi)(9)

for the area of the rectangle(if we unfold the cylindrical can) we get D(pi)(12) where D= Diameter

so the surface area is

SA = (2)(9)(pi) + 6(pi)(12)

SA = 18pi + 72pi = 90pi

User Sunny Moon
by
6.4k points
7 votes

Answer:

Explanation:

The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius. If the diameter of the given cylinder is 6 cm, then the radius is 3 cm, and the circumference of the cylinder is C = 2(3.14)(3 cm) = 18.84 cm.

Note: The wording of your question is illogical; there is no "cylinder of the base." But it's still possible to find the circumference of the cylinder, as done above.

User Gary Verhaegen
by
6.0k points
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