Math, asked by swethacatty, 1 year ago

calculate the height of a cone slant height is 25cm and curved surface area is 550cmsquare

Answers

Answered by ShuchiRecites
5
Hello Mate!

Curved surface area of cone = πrl

Curved surface area of cone = 550 cm²

550 cm² = πrl

550/πl = r

550 × 7/22 × 1/25 = r

7 cm = radius

Since we know that

l = √( r² + h² )

l² = r² + h²

l² - r² = h²

√( l + r )( l - r ) = h

√( 25 + 7 )( 25 - 7 ) = h

√( 32 × 18 ) = h

√576 = h

24 cm = height

Have great future ahead!
Answered by haaameeeda
3
Csa of cone= pi*r*l
550= 22/7*r*25
550=550/7*r
3850=550*r
3850/550=r
r=7cm
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haaameeeda: @Shwethacaty thank u for marking me as the brainliest❤️
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