the height of a right circular cylinder is 14 cm the volume of the cylinder is equal to that of a cube each edge of which measures 11 cm find the radius of the base and the curved surface of the cyclinder
Answers
Answer:
r =11/2 cm , curved surface
area=484cm²
Step-by-step explanation:
Given --->
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Height of cylinder = 14 cm
Edge of cube = 11 cm
To find --->
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1) Radius of cylinder
2) Curved surface area of cylinder
Solution--->
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Volume of cube = edge³
= (11)³
= 1331 cm³
Volume of cylinder = π r² h
ATQ
Volume of cube = Volume of cylinder
1331 = π r² h
1331 = 22/7 r² (14)
1331 = 44 r²
r² = 1331 / 44
r² = 121/4
r = √121/4
r = 11 / 2
radius of cylinder = 11/2 cm
Curved surface area = 2πrh
=2 ×(22/7) × (11/2) ×14
=22 × 11 × 2
=22 × 22
= 484 cm²
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