Question

If total surface area of a cone is 224πcm² and sum of its slant height and radius of a cone is 32cm. Find the volume of cone​

Answer 1

Answer:

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Step-by-step explanation:

Acc. to ques:

l + r = 32cm---------(1)

TSA of cone = 224πcm².

or, πr(l+r)= 224πcm².

=> πr×32cm = 224πcm². [ By(1) ]

= 32πrcm = 224πcm²

= r = 224cm²/32cm

=> r = 7cm.

from (1) , we get

l +7 = 32

=> l = 25

h = √l²- r²

=> h = √(25)² - (7)²

= √625-49

= √576

= h = ± 24

Now,

Volume of cone = 1/3πr²h

=> 1/3× 22/7 × 7×7×24cm³

= 22 × 7×8

= 1232 cm³

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