Question

If a right circular cylinder has a diameter of 14cm and height of 10cm. find its total surface area.

Answer 1

Hint: We are given with a right circular cylinder and its dimensions. We just need to use the formula to find the total surface area of the cylinder using the values of the dimensions given. Rather if we need radius we can take help of diameter so given. Also note that total surface area is the sum of curved surface area and lateral surface area.

Formula used:
Total surface area of cylinder= \[2\pi r(h + r)\]

Step by step solution:
Let’s draw a figure first,

Given that diameter is 14cm. so in order to find the radius we will divide the diameter by 2.
\[r = \dfrac{d}{2} = \dfrac{{14}}{2} = 7cm\]
We already know height h=10cm
Now let’s use the formula and put the values to find the answer,
\[TS{A_{cylinder}} = 2\pi r(h + r)\]
\[ \Rightarrow 2 \times \dfrac{{22}}{7} \times 7\left( {10 + 7} \right)\]
Cancelling 7,
\[ \Rightarrow 2 \times 22 \times 17\]
On multiplying we get,
\[ \Rightarrow 748c{m^2}\]

This is the total surface area of the right circular cylinder \[ 748c{m^2}\]

Note:
Note that first check which area is to be found and according to that use the formula. Also check the units of the dimensions. They should be in the same measuring system. Make necessary calculations in dimensions as per the formula requires.