
The formula to find the slant height of the cone is
A)
B)
C)
D)
Answer
442.2k+ views
Hint: Before writing the formula of slant height let us see what is slant height. The slant height of an object such as cone or pyramid is the distance along the curved surface drawn from the top to a point on the circumference of the circle at the base. In other words we can say that the slant height is the shortest possible distance from the base to the apex along the surface of the solid.
Complete step by step solution:
Let us first draw the image of the cone.
Here in the above image we have AC is the slant height i.e. . AB is the vertical height of the cone and BC is the radius i.e. .
Now the formula of the slant height of the cone is .
Hence the correct option is (B) .
Note:
Now we can apply this formula whenever we have to find the slant height of the cone. Let us take an example. The height and base of a cone is and . Calculate its slant height. Now by applying the above formula we have . We should note that we have a base which is diameter , so the radius is . So we have . Now by applying the formula we have . On solving we have . It gives us a slant height of .
Complete step by step solution:
Let us first draw the image of the cone.

Here in the above image we have AC is the slant height i.e.
Now the formula of the slant height of the cone is
Hence the correct option is (B)
Note:
Now we can apply this formula whenever we have to find the slant height of the cone. Let us take an example. The height and base of a cone is
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
What is the Full Form of ISI and RAW

Which of the following districts of Rajasthan borders class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

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

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

What is 85 of 500 class 9 maths CBSE
