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NCERT Exemplar Solutions Class 6 Mathematics Solutions for Exercise in Chapter 1 - Number System
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(a) 10 million = _____ crore.
(b) 10 lakh = _____ million.
Answer:
(a).10 million = 1 crore
We know that, 1 million = 10 lakh
Then, 10 million = 10 × 10 = 100 lakh = 1,00,00,000
Therefore, 10 million = 1 crore.
(b). 10 lakh = 1 million.
Video transcript
"hello student
welcome back on the leader.solving
session and in today's
little session we are going to check
whether the given statement is true or
false
okay so i will read the statement first
the volume of a sphere is equal to
two third of volume of cylinder whose
height
and diameter are equal to the diameter
of
sphere all right so let's check
so according to the question
according to given question
okay height and the diameter
of the cylinder is equal to the diameter
of sphere right
which is which is given here so height
and
diameter
of cylinder
is equals to diameter of sphere
diameter of sphere
okay that means okay height
of the cylinder okay h is equals to
okay twice of one right that's why
height
of cylinder
is equals to diameter of diameter of the
sphere that is d
or we can call it as an twice of
r right because diameter is a double of
radius
right and again
okay both are having the same radius
right because their diameter is also
same right
that's why radius
okay of cylinder
is equals to
radius of sphere
which is equals to r all right
okay now what we'll do we'll apply
formula
so first okay we know that
volume of cylinder
column of cylinder is equals to
pi r square
h that is the standard formula right but
here
okay we know that the height of the
cylinder is okay
is equals to the diameter of square
which is 2r right
so is equals to pi
r square okay and
we'll replace h with twice of r
so which is equals to
2 pi r cube
all right that will be the volume of
given cylinder
right okay now we'll
apply the standard formula for volume
of sphere
okay and volume of sphere is equal to
4 upon 3
pi r cube
right ok now if you compare
okay volume of cylinder
and volume of sphere okay we'll get to
know that
the volume of sphere is equals to the
two thirds of the volume of cylinder
right
okay that's why volume of the
cylinder
that's why we can say that volume
of cylinder
is equals to okay
two thirds of okay
volume of
sphere right volume of sphere
volume of
sphere that means
the given statement is true
right i hope you understood the concept
uh if you are any doubt please leave the
comment below
and please do subscribe to this channel
thanks for watching the video
bye
"
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