Question

Find the TSA of a cone
when its
slant height is 24 cm and base diameter is 21cm​

Answer 1

Given:

Slant height of the cone = 24cm.

Diameter of the base = 21cm

Find:

The TSA of the cone

Solution:

Let the slant Height of the cone 24cm and diameter of the base = 21cm.

We have

Radius = diameter/2

=> 21/2

=> 10.5cm

Now,

Total surface area of cone = πr(l + r)

=> 22/7 × 10.5(21 + 12)

=> 22/7 × 10.5(33)

=> 22/7 × 10.5 × 33

=> 7623/7

=> 1089cm²

Hence, the TSA of the cone is 1089cm².

Important Information:

Right circular cone:-

h = height of cone

r = Radius of cone

s = slant height

• Volume = 1/3πr²h
• Lateral surface area = πr √r²+h²
• Total surface area = πr² + πr √r²+h²

I hope it will help you.

Regards.

Answer 2

Answer:

Let the slant Height of the cone 24cm and diameter of the base = 21cm.

We have

Radius = diameter/2

=> 21/2

=> 10.5cm

Step-by-step explanation: