Question

plz give correct answer​

Answer 1

Given :-

ㅤㅤㅤㅤ• Volume of a cone is 132 cm!

ㅤㅤㅤㅤ• Height of cone is 14 cm!

To Find :-

ㅤㅤㅤㅤ• Slant height of cone?

❂ How to solve it :-

Here, we have height and volume of a cone, we had to find out it's slant height. Firstly we will find it's radius by using formula of volume of cone i.e (⅓ πr²h). By putting all values, we get it's radius and then we will use formula of slant height i.e l² = r² + h².

❂ So, let's start solving :-

Using formula of volume of cone :-

★ [ Volume of cone = ⅓ πr²h ] ★

Putting all values :-

➱ㅤㅤㅤ132 = 1/3 × 22/7 × r² × 14

➱ㅤㅤㅤ132 = 14/3 × 22/7 × r²

➱ㅤㅤㅤ(132 × 3 × 7)/14 × 22 = r²

➱ㅤㅤㅤ(132 × 3)/2 × 22 = r²

➱ㅤㅤㅤ396/44 = r²

➱ㅤㅤㅤ9 = r²

➱ㅤㅤㅤr = √9

➱ㅤㅤㅤr = √(3 × 3)

➱ㅤㅤㅤ[ r = 3 ] ★

∴ Radius of cone = 3 cm

Now, finding it's slant height :-

Formula :- ★ [ l² = r² + h² ] ★

Putting all values :-

➱ㅤㅤㅤl² = (3)² + (14)²

➱ㅤㅤㅤl² = 9 + 196

➱ㅤㅤㅤl² = 205

➱ㅤㅤㅤ[ l = √205 ] ★

∴ Slant height of cone is √205

Note :-

[ For diagram refer the attachment! ]