Question

The total surface area of a cylinder
of diameter 10 cm 330 cm square. Find the
height of the cylinder​

Answer 1

TSA=330cm^2

D=10 cm

2r=10

r=10/2=5cm

TSA=2πr(r+h)

2(22/7)(5)(5+h)=330

(220/7)(5+h)=330

5+h=330(7)/220

5+h=2310/220

5+h=231/22

5+h=10.5

h=10.5-5

h=5.5 cm

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Answer 2

Question

1. The total surface area of a cylinder of diameter 10 cm is 330 cm^2. Find the height of the cylinder.

Solution

 Given, diameter of the cylinder = 10 cm

${\sf{=> Its \: radius \: = \dfrac{10}{2} cm =5cm}$

${\sf{Total \: surface \: area \: of \: the \: cylinder=2 \pi r(h+r)}$

${\sf{=> 2 \pi r(h+r)=330}$

${\sf{=> 2 \times \dfrac{22}{7} \times 5 \times (h+5)=330}$

${\sf{=>h+5=330 \times \dfrac{7}{ 2 \times 22 \times 5}=10.5}$

 ⇒ h = 10.5 cm - 5 cm = 5.5 cm

                      ⁂ The height of the cylinder = 5.5 cm