a test tube has lower part as hemispherical and upper part cylindrical with same radius If 5159/2 cu. cm of water is added the test tube will be just completely filled water is added ,5 cm of height will remain empty. find the radius and height of the cylindrical part.
Answers
The radius and height of the cylindrical part is r = 6.3 cm and h = 2.54 cm
Explanation:
Volume of water that can completely fill the test tube = 5159/6 cm^3
Total volume = vol. of cylinder + vol.of hemisphere
= πr^2 h + 2/3 πr^3
5159 = πr^2 [h+ 2/3 r] -------- (1)
2002 = πr^ 2 (h − 5) + 2/3 πr^3 = πr^2 h − 5πr^ 2 + 2/3 πr^3
2002 / 3 = πr^2 [ h − 5 + 2/3 r] ------ (2)
On solving the above equations we get:
Radius "r" = 6.3 cm
Height "h" = 2.54 cm
Thus the radius and height of the cylindrical part is r = 6.3 cm and h = 2.54 cm
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The sum of radius of the base and height of a solid cylinder is 37 m. If the total surface area of the cylinder is 1628 m ,find the curved surface area and volume of the cylinder. ?
https://brainly.in/question/1145214
Explanation:
Volume of water that can completely fill the test tube = 5159/6 cm^3
Total volume = vol. of cylinder + vol.of hemisphere
= πr^2 h + 2/3 πr^3
5159 = πr^2 [h+ 2/3 r] -------- (1)
2002 = πr^ 2 (h − 5) + 2/3 πr^3 = πr^2 h − 5πr^ 2 + 2/3 πr^3
2002 / 3 = πr^2 [ h − 5 + 2/3 r] ------ (2)
On solving the above equations we get:
Radius "r" = 6.3 cm
Height "h" = 2.54 cm
Thus the radius and height of the cylindrical part is r = 6.3 cm and h = 2.54 cm
Also learn more
The sum of radius of the base and height of a solid cylinder is 37 m. If the total surface area of the cylinder is 1628 m ,find the curved surface area and volume of the cylinder. ?
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