Question

The height of cone is 16 cm and diameter is 24 cm find the curved surface area and total surface area of the cone pi equal to 3.14

Answer 1

$\huge\fcolorbox{red}{yellow}{Answer}$

Curved Surface Area = 753.6 cm²

Total Surface Area = 1205.76 cm²

Step-by-step explanation:

In The Cone :-

• Height(h) = 16cm
• Radius(r) =>$\frac{24}{2}$ => 12 cm
• Slant Height (l) = ?

First Lets find The Slant height :-

$\color{orange}{L = \sqrt{ h² + r² }}$

Lets Put The values :-

$=> \sqrt{16² + 12²} \\ => \sqrt {226+144} \\ => \sqrt {400} \\ => \boxed{20 cm}$

Now Curved Surface Area :-

$\fbox\color{blue}{CSA=π \: r \: l}$

Lets Put The Values :-

$=> 3.14 \times 12 \times 20 \\ => 3.14 \times 240 \\ => \boxed{753.6}$

Now Total Surface Area :-

$\fbox\color{red}{TSA=πr(l+r)}$

Lets Put The Values :-

$=> 3.14 \times 12 (20 + 12) \\ => 3.14 \times 12 \times 32 \\ => \boxed{1205.76 \:cm²}$

Hope it helped