1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?

radiusr = 3 cm

heighth = 10 cm

volumeV = 282.743339 cm^3

lateral surface areaL = 188.495559 cm^2

top surface areaT = 28.2743339 cm^2

base surface areaB = 28.2743339 cm^2

total surface areaA = 245.044227 cm^2

In Terms of Pi π

volumeV = 90 π cm3

lateral surface areaL = 60 π cm^2

top surface areaT = 9 π cm^2

base surface areaB = 9 π cm^2

total surface areaA = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

E

Step-by-step explanation:

Yes

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