A granary is in the shape of a cuboid of size 8m x 6m x 3m. If a bag of grain occupies a space of 0.65 m3. How many bags can be stored in the granary?
  • 221

  • 225

  • 226

  • 226


A.

221

447 Views

Two cones have height volumes in the ratio 3 : 1 and their heights are in the ratio 1 : 3, then the ratio of their radius is
  • 1 : 3 
  • 1 : 9 
  • 3 : 1
  • 3 : 1

C.

3 : 1
111 Views

The curved surface area of height circular cone is 12320 cm2. If the radius of the base is 56 cm, find its height.

Here, we have r = 56 cm
and, Curved Surface Area = 12320

rightwards double arrow space space 22 over 7 space straight x space 56 space straight x italic space straight l space equals space 12320
rightwards double arrow space space l space equals space 70 space cm
Now comma
Height space left parenthesis straight h right parenthesis space equals space square root of l to the power of italic 2 minus straight r squared end root
equals space square root of open parentheses 70 close parentheses squared minus left parenthesis 56 right parenthesis squared end root
equals space square root of 4900 minus 3136 end root equals square root of 1764
equals space 42 space space space
Hence, height of one cone = 42 cm.

731 Views

A hemisphere of lead of radius 8 cm is cast into a right circular cone of base radius 8 cm. Determine the height of the cone, correct to two places of decimals.
  • 15 cm

  • 16 cm

  • 14 cm

  • 14 cm


B.

16 cm

177 Views

Advertisement

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm3. Find its radius.


Let radius (r) = 5x and height (h) = 7x.
Now. Volume = 550

rightwards double arrow space 22 over 7 cross times space 5 straight x space cross times space 5 straight x space cross times space 7 straight x space equals space 550
rightwards double arrow space space space straight x cubed equals fraction numerator 550 cross times 7 over denominator 22 cross times 25 cross times 7 end fraction
x = 1
∴ The required radius = 5x = 5 x 1 = 5cm.

1498 Views

Advertisement
Advertisement