Answer

Verified

408.6k+ views

**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.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

How do you graph the function fx 4x class 9 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE