a conical glass has a diameter of 8.4 cm and height 9cm . when the glass is 75% full , how many ml of juice does it contain ? if the juice is poured into a cyclinder of same diameter how high will it rise?
Answers 2
volume is 1/3×22/7×4.2×4.2×9= 166.32
it's is also 166.32 ml
75% = 124.74 CM^3
H = 2.25 cm
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Author:
muscleslama
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Given:
d = 8.4 cm
h = 9 cm
To Find:
A conical glass has a diameter of 8.4 cm and height 9cm . when the glass is 75% full , how many ml of juice does it contain ? if the juice is poured into a cyclinder of same diameter how high will it rise?
Solution:
We know that,
r = d/2 = 8.4/2 = 4.2 cm
h = 9 cm
1)Volume of conical glass = 1/3(πr²h) = 1/3 x 22/7 x 4.2² x 9 = 166.32 cm³
Since 1 mL = 1 cm³,
Volume of 75% full conical glass = 3/4 x 166.32 = 124.74 mL
2) We know that,
Volume of cylinderical glass = πr²h
Since the juice is poured from conical to cylinderical glass,
124.74 = 22/7 x 4.2² x h
= 55.4h
⇒ h = 124.74 / 55.4 = 2.25 cm
Hence, when the glass is 75% full, the conical flask contains 124.74 mL and if the juice is poured into a cyclinder of same diameter, it will rise by 2.25 cm.
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pregoihvt
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