the volume of a cylinder is 150π cu.cm and height is 6 cm. Find the area of its total surface area and lateral surface
Answers
Answered by
287
volume of cylinder =150×22/7cm
22/7×radius^2 ×height =150×22/7
radius ^2=150×22/7×7/22×1/height
r^2=150×1/6=25
r^2=5×5
r=5
total surface area =2×22/7×5(5+6)
=2×22/7×5×11=345.7cm^2
lateral surface area =2×22/7×6×5=188.5cm^2
22/7×radius^2 ×height =150×22/7
radius ^2=150×22/7×7/22×1/height
r^2=150×1/6=25
r^2=5×5
r=5
total surface area =2×22/7×5(5+6)
=2×22/7×5×11=345.7cm^2
lateral surface area =2×22/7×6×5=188.5cm^2
Answered by
48
Answer:
345.4 cm^2 and 188.4cm^2
Step-by-step explanation:
Volume of cu. = 150π cm^3
π r^2 h =150π
r^2 × 6 =150
r^2 = 150/6
r^2 = 25
r = √25
r = 5
TSA = 2π r ( r + h)
2× 22/7 × 5 ( 5+ 6)
2 × 22/7× 5 × 11 / 7
___2420__
7
= 345.7
CSA = 2π r h
2× 22/7× 5× 6
110 × 12 / 7
1320 / 7
= 188.6
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