.
Frustum ( iCMnk )
1 If the radii of the circular ends of a
conical bucket, which is 45 cm high, are 28 cm and 7 cm, find the capacity of
the bucket.
45 sY. mI aucweI
vwlI bwltI dy isirAW dy ArD ivAws 28 sm Aqy 7 sm hn [ bwltI dI Dwrn smrQw pqw kro [
2 The radii of the ends of
the frustum of a right circular cone are 5 metres and 8 metres and its lateral
height is 5 metres. Find the lateral surface and volume of the frustum.
5 mI iqrCI aucweI
vwly iCMnk dy isirAW dy ArD ivAws 5 mI Aqy 8 mI hY [ iCMnk dI iqrCI sqHw dw KyqrPl Aqy Awieqn
pqw kro [
3 A toy
is in the form of the frustum of a cone,
the diameters of the ends being 8 cm, and 10 cm and length 8 cm. Find its
bearing surface and its volume.
ie`k iKfoxw
iCMnk dy rup iv`c hY ijs dI iqrCI aucweI 8 sY. mI Aqy isirAW dy ivAws 8 sm Aqy 10
sm hn [ iKfoxy dI iqrCI sqHw dw KyqrPl
Aqy Awieqn pqw kro [
4 The diameter of the bottom of a
frustum of right circular cone is 10 cm, and that of the top is 6 cm and height
is 5 cm. Find out the area of the total surface and volume of the frustum.
(Take p = 22/7).
3 sY. mI aucweI
vwly iCMnk dy isirAW dy ivAws 10 sm Aqy 6 sm hY [iCMnk dI ku`l sqHw dw KyqrPl Aqy Awieqn
pqw kro [
5 A tent consists of a frustum If the radii of the ends of the frustum be 16
metres and 10 metres, the height of the frustum 8 metres find the number of square metres of canvas
required for the tent.
ie`k qMbU iek
iCMnk Aqy aus dy aupr sMkU vrgI topI hY [jykr ies iCMnk dI aucweI 8 mI hovy Aqy
isirAW dy ArD ivAws 16 mI Aqy 10 mI hovy qMbU leI ikny vrg mI kpVy dI loV pvygI
[
6 The diameter
of the bottom of a frustum of right circular cone is 10 cm. and that of the top
is 4 cm. and height is 4 cm. Find out the area of the total surface and the
volume of the frustum. (Take p = 22/7)
4 sY.mI aucweI
vwly iCMnk dy isirAW dy ivAws 10 sm Aqy 4 sm hY [iCMnk dI ku`l sqHw dw KyqrPl Aqy Awieqn
pqw kro [
7 The radii of
the ends of a bucket, 30 cm high are 21 cm and 7 cm. Determine, the area of the
sheet required to make this bucket. [Use p = 3.14]
30 sY. mI aucweI
vwlI bwltI dy isirAW dy ArD ivAws 21 sm Aqy 7 sm hn [ bwltI bxwax leI Sit dw KyqrPl pqw kro [
8 The radii of the ends of the
bucket of height 24 cm are 15 cm and 5 cm respectively. Find its capacity.
24 sY. mI aucweI
vwlI bwltI dy isirAW dy ArD ivAws 15 sm Aqy 5 sm hn [ bwltI dI Dwrn smrQw pqw kro [
9. The diameter of the top of a bucket is 32 cm and that of
its bottom is 20 cm. If the height of the bucket is 21 cm, find the cost of the
tin sheet used in making this bucket at the rate of Rs 1.50 per dm2. (Take p = 22/7)
10. A reservoir
in the form of the frustum of a right circular cone contains 44 × 107 litres of water
which fills it completely. The radii of the bottom and top of the reservoir are
50 metres and 100 metres respectively. Find the depth of water. Also, find the
lateral surface of the reservoir. (Take p = 22/7)
11 The perimeters of the ends of the
frustum of a cone are 96 cm and 68 cm. If the height of the frustum be 20 cm,
find its radii, slant height, volume and total surface.
