Q. 84.1( 15 Votes )

# The curved surface area of a cone is 2200 sq.cm and its slant height is 50 cm. Find the total surface area of cone.

(π = 22/7)

Answer :

Given: Curved surface area of cone (CSA) = 2200 cm^{2}

Slant height of cone (l) = 50 cm

For total surface area, we have the formula

TSA = πrl + πr^{2}

⇒ TSA = CSA + πr^{2} [∵, Curved surface area (CSA) = πrl] …(i)

Where, r = radius of the base of the cone

We have CSA, we just need to find radius of the base of the cone (r).

So, we know

CSA = πrl

Substituting values in above equation,

⇒

⇒

⇒ r = 14

⇒ Radius of the base of the cone = 14 cm

Thus, substituting value of CSA and r in equation (i),

⇒ TSA = 2200 + 616

⇒ TSA = 2816

Thus, total surface area of cone is 2816 cm^{2}.

Rate this question :

Curved surface area of a cone is 251.2 cm^{2} and radius of its base is 8cm. Find its slant height and perpendicular height. (π = 3.14)

Volume of a cone is 1212 cm3 and its height is 24cm. Find the surface area of the cone.

(π = 22/7)

MHB - Math Part-IIThe curved surface area of a cone is 2200 sq.cm and its slant height is 50 cm. Find the total surface area of cone.

(π = 22/7)

MHB - Math Part-IIWhat will be the cost of making a closed cone of tin sheet having radius of base 6 m and slant height 8 m if the rate of making is Rs.10 per sq.m?

MHB - Math Part-II