Question

The ratio of the radius to the height of a cylinder is 1:2. If the curved surface srea is 176 sq.cm, what is its volume​

Answer 1

Base area of cylinder =πr

2

=38.5cm

2

(Given)

⇒πr

2

=38.5

⇒r

2

=

22

38.5×7

⇒r=

12.25

=3.5cm

CSA of cylinder =2πrh=176cm

2

(Given)

∴2πrh=176

⇒h=

2×22×3.5

176×7

=8cm

Therefore,

Volume of cylinder =πr

2

h

=

7

22

×(3.5)

2

×8=308cm

3

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Answer 2

Answer:

Base area of cylinder =πr

Base area of cylinder =πr 2

Base area of cylinder =πr 2 =38.5cm

Base area of cylinder =πr 2 =38.5cm 2

Base area of cylinder =πr 2 =38.5cm 2 (Given)

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 =

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 22

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r=

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cm

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h=

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cm

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h=

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h= 7

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h= 722

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h= 722

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h= 722 ×(3.5)

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h= 722 ×(3.5) 2

Base area of cylinder =πr 2 =38.5cm 2 (Given)⇒πr 2 =38.5⇒r 2 = 2238.5×7 ⇒r= 12.25 =3.5cmCSA of cylinder =2πrh=176cm 2 (Given)∴2πrh=176⇒h= 2×22×3.5176×7 =8cmTherefore,Volume of cylinder =πr 2 h= 722 ×(3.5) 2 ×8=308cm3