Question

The height of cone is 16cm and the diameter of its base is 24cm.Find it's curved surface area and total surface area and total surface (=3.14).

Answer 1

height of cone=16 cm
diameter=24cm
radius=24/2=12cm
l=√r^2+h^2
l=√12^2+16^2
l=√144+256
l=√400=20cm
CSA of cone = πrl
= 3.14×12×20=753.6cm^2
TSA of cone = πr(r+l)
= 3.14×12(12+20)
= 3.14×12×32=1,205.76cm^2

Answer 2

It's curved surface area and total surface area and total surface are 753.6 sq.cm. and 2411.52 sq.cm. respectively.

Step-by-step explanation:

Height of cone = 16 cm

Diameter of cone = 24 cm

Radius of cone $= \frac{24}{2}=12 cm$

Curved surface area of cone = $\pi r \sqrt{h^2+r^2}$

Curved surface area of cone $=3.14 \times 12 \times \sqrt{16^2+12^2}=753.6 cm^2$

Total surface area of cone =$\frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 12^2 \times 16=2411.52 cm^2$

Hence  it's curved surface area and total surface area and total surface are 753.6 sq.cm. and 2411.52 sq.cm. respectively.

#Learn more:

The height of a cone is 16cm and its base radius is 12cm. Find the curved surface area and the total surface area of the cone?

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