calculate the height of a cone slant height is 25cm and curved surface area is 550cmsquare
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Answered by
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!
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
3
Csa of cone= pi*r*l
550= 22/7*r*25
550=550/7*r
3850=550*r
3850/550=r
r=7cm
550= 22/7*r*25
550=550/7*r
3850=550*r
3850/550=r
r=7cm
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