Question

A cone has slant height 20 cm nd height 16 cm f8nd its radius of base . also find its CSA and volume ( x = 3.14 ) ​

Answer 1

Explanation:

radius equals x

16^2 + x^2 = 20^2

256+x^2=400

x^2=400-256

x^2=144

x=12

radius = 12 cm

CSA = pi * r * l

3.14×12×20

3.14×240

CSA = 753.60 cm^2

Volume equals 1/3 * pi * r^2 * h

1/3 × 3.14 × 144 × 16

3.14 × 48 × 8 × 2 ( this was for easier

25.12 × 48 × 2 calculation)

50.24 × 48

2512.0 - 100.48

2411.52 cm^3

You can calculate it yourself

Ta Daaa !

for radius ,

we divided the cone into two triangles taking it and since its slant height becomes the hypotenuse and the height is given we calculated the radius or base using the pythogoras theorem.

after we got the radius everything else is just calculations and formulas.