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If the diameter and the height of a cylinder are 12cm and 10.5cm, respectively, then using π = 227\frac{22}7722​​, find the volume of the cylinder:
Question

If the diameter and the height of a cylinder are 12cm and 10.5cm, respectively, then using π = 227\frac{22}7​, find the volume of the cylinder:

A.

1313 cm3cm^3​​

B.

1188 cm3cm^3​​

C.

1281 cm3cm^3​​

D.

1288 cm3cm^3​​

Correct option is B

Given:

Diameter of Cylinder = 12

Height of Cylinder = 10.5

Formula used: 

Volume of Cylinder = πr2h\pi r^2 h 

π=227\pi = \frac{22}{7} 

r = Radius

h = Height

Solution : 

Diameter of cylinder  = 12 cm

​​r=Diameter2r = \frac{Diameter}{2} 

r=122r = \frac{12}{2}  =6cm= 6cm  

Thus, 

Volume=227×(6)2×10.5Volume = \frac{22}{7}\times(6)^2 \times 10.5  

Volume=227×378=83167=1188cm3Volume = \frac{22}{7}\times 378 = \frac{8316}{7} = 1188cm^3 

So, the Volume of Cylinder is  1188cm31188 cm^3






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