26. Base diameter of a solid cone is 14cm, total surface area 224cm.
(a) Find the slant height of the cone.
(b) Find the height of the cone.
(c) Find the volume of the cone.
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Slant height = √r² + h²
= √(7)² + (24)²
= √49 + 576
= √625
= 25 cm²
Curved surface of cone = πrl
= 3.14 x 7 x 25
= 549.5 cm²
Total surface area of cone = πr ( l + r )
= 3.14 x 7 ( 25 + 7 )
= 3.14 x 7 (31)
= 3.14 x 217
= 681.38 cm²
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