The surface area of the base of a cone is 616cm .Its heights is 48cm.what is the total surface area
sushant2505:
steps .... find r ... find l with rel. between r,l,h
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Area of circular base = 616 cm2
Therefore,
πr2 = 616⇒227r2 = 616⇒r2 = 616 × 722⇒r2 = 196⇒ r = 14 cm
And h = 48 cm
Then slant height, l = r2+h2−−−−−−√ = 142+482−−−−−−−−√ = 196+2304−−−−−−−−−√ = 2500−−−−√ = 50 cm
Total surface are of cone = πr(r+l) = 227×14×(14 +50)
= 227×14 ×64= 2816 cm2
Therefore,
πr2 = 616⇒227r2 = 616⇒r2 = 616 × 722⇒r2 = 196⇒ r = 14 cm
And h = 48 cm
Then slant height, l = r2+h2−−−−−−√ = 142+482−−−−−−−−√ = 196+2304−−−−−−−−−√ = 2500−−−−√ = 50 cm
Total surface are of cone = πr(r+l) = 227×14×(14 +50)
= 227×14 ×64= 2816 cm2
Hope this helps
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