From a solid cylinder whose height is 50 cm and diameter 16 cm a conical cavity of the same
height and same diameter is hollowed out. Find the total surface area of the remaining solid.
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Step-by-step explanation:
We have
Height of solid cylinder=2.4cm
diameter of solid cylinder= 1.4cm
clearly,
Total surface area of the remaining solid = Curved surface area of the cylinder + Area of the base of the cylinder + Curved surface area of the cone.
=2πrh+πr
2
+πr
r
2
+h
2
=2×
7
22
×0.7×2.4+
7
22
×(0.7)
2
+
7
22
×0.7×
(2.4)
2
+(0.7)
2
[∵l=
r
2
+h
2
]
=10.56+1.54+5.5cm
2
=17.6cm
2
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