The curved surface area of cone is 550Sq.cm and it's salant height is 25cm find the volume of this cone
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Slant Height (L) = 25 cm
CSA of cone = pi × r × L
=> 550 = 22× r × 25 / 7
=> r = 550 × 7 / 22 × 25
=> r = 50× 7 / 2 × 25
=> r = 7 cm
Now,
Height of cone = sqrt ( L^2 - r^2)
= sqrt ( 625 - 49)
= sqrt ( 576)
= 24 cm
Volume = pi r^2 h / 3
= 22 × 7 × 7×24 / 3 × 7
= 22 × 7 × 8
= 154 × 8
= 1232 cm^3
CSA of cone = pi × r × L
=> 550 = 22× r × 25 / 7
=> r = 550 × 7 / 22 × 25
=> r = 50× 7 / 2 × 25
=> r = 7 cm
Now,
Height of cone = sqrt ( L^2 - r^2)
= sqrt ( 625 - 49)
= sqrt ( 576)
= 24 cm
Volume = pi r^2 h / 3
= 22 × 7 × 7×24 / 3 × 7
= 22 × 7 × 8
= 154 × 8
= 1232 cm^3
Muhammadzeyauddin:
Thanks a lot
wlcm :)
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I hope it helps your
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