Diameter of the base of a cone is 10.5cm and its slant height is 10cm. Find its curved surface area.
Last updated date: 23rd Mar 2023
•
Total views: 307.8k
•
Views today: 4.85k
Answer
307.8k+ views
Hint: Slant height of a cone is the line joining the vertex to any point on a circular edge of the base.
Complete step-by-step answer:
Now, they have given us the diameter of the base of a cone as \[d = 10.5cm\]
And, therefore, radius of the base of cone will be \[r = 5.25cm\]
And, the slant height given is \[\ell = 10cm\]
The formula to find the curved surface area of the cone, $A = \pi r\ell $
We already have all the values, let us substitute it in the above formula,
We get,
$A = \dfrac{{22}}{7} \times 5.25 \times 10$
$A = 165c{m^2}$
Answer= the curved surface area of the given cone is n$165c{m^2}$
Note: Do not forget to convert the diameter to radius before taking the value or make sure that you take the correct formula. If you have been given the diameter, make sure to use the formula which has diameter or if they have given the radius, make sure to use formula which has radius in it and not the other way round.
Complete step-by-step answer:
Now, they have given us the diameter of the base of a cone as \[d = 10.5cm\]
And, therefore, radius of the base of cone will be \[r = 5.25cm\]
And, the slant height given is \[\ell = 10cm\]

The formula to find the curved surface area of the cone, $A = \pi r\ell $
We already have all the values, let us substitute it in the above formula,
We get,
$A = \dfrac{{22}}{7} \times 5.25 \times 10$
$A = 165c{m^2}$
Answer= the curved surface area of the given cone is n$165c{m^2}$
Note: Do not forget to convert the diameter to radius before taking the value or make sure that you take the correct formula. If you have been given the diameter, make sure to use the formula which has diameter or if they have given the radius, make sure to use formula which has radius in it and not the other way round.
Recently Updated Pages
If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
