Find the total surface area of a cylinder whose length is 10 cm and the radius of whose base is 3.5 cm. 

Expert Answers

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The method to answer this question is very similar to the one for the question I have linked to below.

I will let YOU do most of the calculations this time!!

Step 1: Find the area of the top or bottom -- also called base:

π r^2 = 3.14 x (3.5^2) = 3.14 x 12.25 =

A(base) cm^2

Step 2: Find the circumference of the base:

2 π r = 2 x 3.14 x 3.5 = C(base) cm

Step 3: Find the surface area of the side of the cylinder:

C(base) x Length = C(base) x 10 = A (side) cm^2

Step 5: Add together the three surface areas:

A(base) + A(base) + A(side) = total surface area in cm^2

BTW, the answer is less than 300 cm^2

 

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