Question

Need help thanksssss

Answer 1

Before we can find any of the three items mentioned, we need the height. The diameter is 10, so the radius is 5. A right triangle with hypotenuse 13 and leg 5 forms. The height is h. Use the pythaogrean theorem to solve for h

5^2+h^2 = 13^2

25+h^2 = 169

h^2 = 169-25

h^2 = 144

h = sqrt(144)

h = 12

The height is 12. We now have enough info to find the volume, the lateral area and surface area.

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Volume

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*5^2*12

V = 314 cubic cm

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Lateral Area

LA = pi*r*L

LA = 3.14*5*13

LA = 204.1 square cm

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Surface Area

SA = 2*pi*r + pi*r*L .... note how we add on the lateral area to the bottom circular area

SA = 2*3.14*5 + 3.14*5*13

SA = 235.5 square cm