SURFACE AREA AND VOLUME (CLASS 9)
1. Find the volume of the largest right circular cone that
has placed in a hollow cube of edge 14cm.
2. how many square metres of a metal sheet is required to
make a closed cylindrical tank of height 1.4m and base diameter 2m?
3. A cube of largest volume is cut out from a sphere of
radius 4√3cm.
Find the volume of the cube.
4. A right triangle PQR with sides 3cm,4cm,and 5cm is revolved
about the side of length 4cm. Find the volume of shape so formed.
5. A wall of length 10m was to be built across an open ground .The
height of the wall is 4m and its thickness is 24cm. If this wall is to be built
up with bricks whose dimensions are 24cmx12cmx8cm, find the number of bricks
required ?
6. Find the TSA and CSA of hemisphere of radius √7m.
7. A hemisphere of lead of radius 8cm is cart inyo a right
circular cone of base radius 6cm.Determine the height of cone (upto two decimal
places )
8. If the radius of a sphere is doubled ,What is the ratio
of volume of first sphere to that of the second sphere .
9. If the radius of a sphere is reduced by 5% .how much
percent will its surface area decreases ?
10. What will be the
volume of the largest sphere that can be placed in a right circular cylinder of
radius 7cm and height 14cm ?
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