Question

Finf the volume , curved surface area and the tota surface area of a cone whose height and slant height are 6 cm and 10 cm respectively ( take π = 3.14

Answer 1

Here is my answer to your question.

Answer 2

Correct Question :-

Find the volume , curved surface area and total surface area of cone whose height and slant height is 6 cm and 10 cm respectively.

Given :

Height of the cone is 6 cm and Slant height is 10 cm respectively.

To find :

What is Volume of cone?

What is CSA of cone ?

What is TSA of cone ?

Solution :

Using formula ,

Now, According to the Question :-

Firstly find out the radius ,

↠ Slant height² (l²) = Height²(h²) + Radius²(r²)

↠ 10² = 6² + r²

↠ 100 = 36 + r²

↠ r² = 100 - 36

↠ r² = 64

↠ r = √64

↠ r = 8 cm

Now we got the radius

So , we can easily find out the volume by using the formula :-

1. Volume of cone = 1/3 πr²h

↠ 1/3 × 22/7 × 8² × 6

↠ 22/7 × 64 × 2

↠ 2816/7

↠ 402.29 cm³        

2. CSA of cone = π × r × l

↠ 22/7 × 8 × 10

↠ 1760/7

↠ 251.43 cm²      

3. TSA of cone = πr( l + r )

↠ 22/7 × 8 (10 + 8)

↠ 22/7 × 8 × 18

↠ 3168/7

↠ 452.57 cm²

Additional Information :-

❥ Perimeter of Rectangle = 2( L + B )

❥ Perimeter of square = 4 × Side

❥ Perimeter of triangle = AB + BC + CA

❥ Area of Rectangle = L × B

❥ Area of Square = ( side ) ²

❥ Area of Rhombus = Product of Diagonal/2.

❥ Area of Parallelogram = Base × Height.

❥ Area of triangle = 1/2 × base × height .