The ratio between the curved suraface area and total surface area is 2 is to 3 if the total surface area is 924 find the volume of the cylinder
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Ratio of curved surface area to total surface area = 2 : 3
The total surface of the cylinder is 924 cm2.
Therefore, the curved surface area = 2/3 * 924 = 2 * 308 = 616 cm2
Also, curved surface area = 2 * 3.14 * Radius
Therefore, 2 * 22/7 * r = 616
r = 98 cm
Volume of the cylinder = 22/7 * r3
= 22/7 * 98 * 98 * 98
= 29,58,032 cm3
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Answer:
Step-by-step explanation:
Ratio of curved surface area to total surface area = 2 : 3
The total surface of the cylinder is 924 cm2.
Therefore, the curved surface area = 2/3 * 924 = 2 * 308 = 616 cm2
Also, curved surface area = 2 * 3.14 * Radius
Therefore, 2 * 22/7 * r = 616
r = 98 cm
Volume of the cylinder = 22/7 * r3
= 22/7 * 98 * 98 * 98
= 29,58,032 cm3
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