Question : The curved surface area of a solid circular cylinder of height 12 cm is 2640 cm2. What is the volume (in cm3) of the cylinder? (Take $\pi =\frac{22}{7}$)
Option 1: 46200
Option 2: 37900
Option 3: 42000
Option 4: 55200
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Correct Answer: 46200
Solution : Given: The curved Surface area of a cylinder = 2640 cm2 ⇒ $2πrh = 2640$ ⇒ $r=\frac{2640}{2π×12}$ ⇒ $r=\frac{2640×7}{2×22×12}$ ⇒ $r =\frac{18480}{528}$ $\therefore r=35$ cm So, the volume of cylinder = $πr^2h=\frac{22}{7}×(35)^2×12=46200$ cm3 Hence, the correct answer is 46200.
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Question : The volume of a solid right circular cylinder of height 8 cm is $392 \pi$ cm3. Its curved surface area (in cm2) is:
Option 1: $161 \pi$
Option 2: $96 \pi$
Option 3: $210 \pi$
Option 4: $112 \pi$
Question : The sum of the curved surface area and the total surface area of a solid cylinder is 2068 cm2. If the radius of its base is 7 cm, then what is the volume of this cylinder? (use $\pi=\frac{22}{7}$)
Option 1: 2060 cm3
Option 2: 2480 cm3
Option 3: 3080 cm3
Option 4: 2760 cm3
Question : The volume of a cylinder is 4312 cm3. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm2) is: (Take $\pi=\frac{22}{7}$ )
Option 1: 572 cm2
Option 2: 528 cm2
Option 3: 660 cm2
Option 4: 616 cm2
Question : If the curved surface area of a cylinder is $126\pi$ cm2 and its height is 14 cm, what is the volume of the cylinder?
Option 1: $283 \frac{1}{2} \pi\ \mathrm{cm}^3$
Option 2: $137\frac{1}{2} \pi\ \mathrm{cm}^3$
Option 3: $128\frac{1}{2} \pi\ \mathrm{cm}^3$
Option 4: $125\frac{1}{2} \pi\ \mathrm{cm}^3$
Question : The curved surface area of a solid hemisphere is 22 cm2. What is the total surface area of the hemisphere? (use $\pi=\frac{22}{7}$)
Option 1: 66 cm2
Option 2: 44 cm2
Option 3: 33 cm2
Option 4: 30 cm2
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