The volume of a cylinder is 150π cu. cm and its height is 6 cm. Find the areas of its total surface and lateral (curved) surface.
Answer is 345.4cm×cm and 188.4cm×cm
I want full explanation with this answer only.
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Answers
Step-by-step explanation:
Volume of cylinder =150 pi cu.cm
height of cylinder =6 cm
volume of cylinder =pi r^2 h
pi r^2 h =150 pi
r^2 (6)=150
r^2 =25
r=5
surface area =2pi r (r+h)
=2pi (5)(5+6)
=2pi(5)(11)
=2pi x 55
=110 pi
lateral surface area =2 pi rh
2 pi (5)(6)
=2pi(30)
=60 pi
Answer:
Volume of cylinder =150 pi cu.cm
height of cylinder =6 cm
volume of cylinder =pi r^2 h
pi r^2 h =150 pi
r^2 (6)=150
r^2 =25
r=5
surface area =2pi r (r+h)
=2pi (5)(5+6)
=2pi(5)(11)
=2pi x 55
=110 pi
lateral surface area =2 pi rh
2 pi (5)(6)
=2pi(30)
=60 pi