A solid circular cylinder of radius 8 cm and height 3 cm is kelted to make a cone of height three times that of acylinder find the curved surface area of the cone
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Radius of Cylinder =8cm
Height= 3cm
VOLUME OF CYLINDER = πr²h = 22/7×8×8×3 = 4224/7 = 603.42cm³
HEIGHT OF CONE = 3×3= 9cm
Volume of cone = VOLUME OF CYLINDER
1/3πr²h = 603.42
1/3×22/7×r²×9 = 603.42
r² = 603.42×3×7/22×9 = 12671.82/198= 63.99cm³
r = ✓63.99 = 7.9cm
Slant height = under root (height of cone)²+(radius of cone)².
SOLVE THIS YOU WILL GET THE SLANT HEIGHT OF THE CONE.
THEREFORE,
CSA of cone = πrl
SOLVE THIS YOU WILL GET YOUR ANSWER
Height= 3cm
VOLUME OF CYLINDER = πr²h = 22/7×8×8×3 = 4224/7 = 603.42cm³
HEIGHT OF CONE = 3×3= 9cm
Volume of cone = VOLUME OF CYLINDER
1/3πr²h = 603.42
1/3×22/7×r²×9 = 603.42
r² = 603.42×3×7/22×9 = 12671.82/198= 63.99cm³
r = ✓63.99 = 7.9cm
Slant height = under root (height of cone)²+(radius of cone)².
SOLVE THIS YOU WILL GET THE SLANT HEIGHT OF THE CONE.
THEREFORE,
CSA of cone = πrl
SOLVE THIS YOU WILL GET YOUR ANSWER
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