Explanation:
Given –
Height of tumbler = 14cm
Diameter of tumbler = 6cm
To find –
Volume of the tumbler.
Formula used –
Volume of cylinder = πr²h
Solution –
First as you can see in the question that, the diameter of the tumbler is given, therefore, first we will find the radius of the tumbler. For that we will divide the given diameter with 2, as radius is the half of diameter.
So,
\longmapsto⟼ Radius(r) = \sf\cancel\dfrac{6cm}{2}
2
6cm
\longmapsto⟼ Radius(r) = 3cm
Now,
We have find the radius, so now, we will find the volume of the tumbler. As per the given dimensions, we can see that the tumbler is in the shape of cylindrical, therefore, we will apply the formula of volume of Cylinder.
Volume of cylinder = πr²h
where,
π = \sf\dfrac{22}{7}
7
22
r = Radius
h = Height
On substituting the values –
Volume = πr²h
\longmapsto⟼ Volume = \sf\dfrac{22}{7}
7
22
× (3)² × 14
\longmapsto⟼ Volume = \sf\dfrac{22}{7}
7
22
× 9cm × 14cm
\longmapsto⟼ Volume = 22 × 9cm × 2
\longmapsto⟼ Volume = 396cm³
\therefore∴ The volume of tumbler is 396cm³
2 More formule of cylinder –
1. Curved surface area = 2πrh
2. Total surface area = 2πr(r + h)
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