Question

A cylindrical roller made of iron is 2 m long . It's inner diameter is 35 cm and thickness is 7 cm all aro. Find the weight of the roller in kg , if 1 cubic centimeter of iron weighs 8 g .

Answer 1

here your solution...... check it out

Answer 2

Answer:

$Weight \: of \: roller=1443.2\:kg$

Step-by-step explanation:

Dimensions of a cylindrical roller:

Length (h) = 2m = 200cm,

Inner Diameter (d) = 35 cm,

$Radius (r) \\=\frac{d}{2}\\ = \frac{35}{2}\\=17.5 \:cm$

Thickness (w) = 7 cm,

Outer radius (R)=r+w

= 17.5 + 7 = 24.5 cm

$Volume \: of \: the \: cylinder (V)\\=\pi (R^{2}-r^{2}) h$

$=\pi (R+r) (R-r) h\\=\frac{22}{7} (24.5+17.5)\times 7\times 200\\=22\times 42\times 200\\=180400 \:cm^{3}$

$[Given \: 1\:cm^{3}\: iron \\weight = 8 \:g]$

$Weight \: of \: roller\\ = 8\times V\\=8 \times 180400 \:g$

$= 1443200 \: g$

$= 1443200 \times \frac{1}{1000} kg\\=1443.2 \: kg$

Therefore,.

$Weight \: of \: roller=1443.2\:kg$

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