1)Given: Diameter of the hemisphere = 14cm ∴ Radius of the hemisphere = 14/2 = 7 cm Curved Surface Area of Hemisphere = 2πr2 = 2 x 22/7 x 7 x 7 = 308cm2 Now, Radius of cylinder = radius of hemisphere = 7cm Height of cylinder = Total height – Radius of hemisphere = 13 – 7 = 6cm So, CSA of cylinder = 2πrh = 2 x 22/7 x 7 x 6 = 264cm2 The inner Surface area of the vessel = CSA of hemisphere + CSA of cylinder = 308 + 264 = 572cm2 Hence, Inner surface area of vessel is 572cm2.
2)
Right circular cone
Solve for
surface area
A
≈
213.21
cm²
r
Radius
cm
h
Height
cm
Using the formulas
A
=
π
r
l
+
π
r
2
l
=
r
2
+
h
2
Solving for
A
A
=
π
r
(
r
+
h
2
+
r
2
)
=
π
·
3.5
·
(
3.5
+
15.5
2
+
3.5
2
)
≈
213.20692
cm²
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