Question

curved surface area of cone is 2200 cm square and its slant height is 50 cm. Find the total surface area of and the volume of cone​

Answer 1

Answer:

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Step-by-step explanation:

Let the radius of the base of the cone

ber cm.

Slant height of the cone, I = 50 cm

Curved surface area of the cone = 2200

cm2

.:: Turl = 2200 cm2

22

7 xrx 50 = 2200

2200 x 7 = 14cm

22 x 50

.. Total surface of the cone = rr(r + 1) = 22 x 14 x ( 14 +50) x 14 x 64 = 7

22

2816 cm2

Thus, the total surface area of the cone

is 2816 cm2.

Answer 2

Step-by-step explanation:

Given : CSA of cone = 2200cm²

slant height(l) = 50cm

we know that, CSA of cone = πrl

2200cm² = 22/7×r×50cm

44cm = 22/7×r

22r = 308cm

r = 14cm

TSA of cone = πr(l+r)

TSA of cone = 22/7×14(50+14)cm²

TSA of cone = (44×64)cm²

TSA of cone = 2816cm²

l² = h²+r²

(50)²cm = h²+(14)²cm

2500cm² = h² + 196cm²

h² = (2500-196)cm²

h² = 2304cm²

h = 48cm

Volume of cone = 1/3πr²h

Volume of cone = (1/3×22/7×196×48)cm³

Volume of cone = 9856cm³

I hope it will be helpful for you