A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter, the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm³. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.
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Answer:
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A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm
3
. Check whether she is correct, taking the above as the inside measurements, and π = 3.14
Medium
Solution
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Correct option is
B
No
Radius of cylinder=1cm
Height of cylinder=8cm
Radius of sphere =8.5
Volume of cylinder =πr
2
h
=π×1
2
×8
=8πcm
3
Volume of sphere =
3
4
πr
3
=
3
4
π×(
2
8.5
)
3
=
6000
614125
πcm
3
∴ total Volume =(
6000
614125
+8)π
=(
6000
614125+48000
)π
=
6000
662125
π
=110.35×3.41
=346.5cm
3
So, 345cm
3
is not correct.
Step-by-step explanation:
No
Answer:
not true
Step-by-step explanation:
volume = πr²h
345.5is not equal to