Question

3. (G.11C) A right cylinder has a total surface area of 1301 cm?. If the diameter of

the cylinder is 10 cm, what is the height?
X
A 8 cm
B 10 cm
C 9 cm
D 12 cm

Answer 1

A. 8 cm

Explanation:

Total surface of a cylinder = 130π cm²

Diameter (d) = 10 cm

Radius (r) = 10/2 = 5 cm

Height = ?

Formula for total surface area of cylinder = 2πrh + 2πr²

Plug in the values

130π = 2*π*5*h + 2*π*5²

130π = 10hπ + 50π

130π = π(10h + 50)

Divide both sides by π

130 = 10h + 50

Subtract 50 from each side

130 - 50 = 10h

80 = 10h

Divide both sides by 10

80/10 = 10h/10

8 = h

h = 8 cm