radius is 5cm height is 14cm volume of cylinder
Answers
Step-by-step explanation:
Given:
The radius(r) of the solid cone = 5 cm
The height(h) of the solid cone = 14 cm
The radius(R) of the wire = 1 mm
Formula used:
Volume of the solid cylinder = πr2 h
Where, r = Radius of the solid cylinder, h = height of the solid cylinder
The volume of the cone = 1/3 × πR2H
Where R and H are the radii and the height of the cone respectively.
1 millimeter (mm) = 1/10 centimeter (cm)
1 cm = 100 meter
Calculation:
Let the length of the wire be H cm
According to the question:
The radius of wire in cm = 1/10 cm
Volume of the solid cylinder = Volume of the cone
⇒ πr2 h = 1/3 × πR2H
⇒ (1/10)2 × H = (5)2 × 14/3
⇒ H = 25 × 14 × 100/3
⇒ H = 35000/3 cm
Length in meter = (35000/3 × 100) = 350/3 m
∴ The length of the wire is 350/3 m.
formula of volume of cylinder =πr^2h
=22/7×5×5×14
=22/1×5×5×2
=22×25×2
=22×50
=1100cm^3
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