The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?
A. 12 π cm3
B. 6 π cm3
C. 8 π cm3
D. 10 π cm3
Volumes
Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.
Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.
A. 1:2
B. 2:1
C. 1:4
D. 4:1
Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
A. 360 cc
B. 60 cc
C. 300 cc
D. 36 cc
r1 = x r2 = 3x
Π * x2 * h = 40
Π9 x2h = 40 * 9 = 360
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
A. Rs.1185
B. Rs.1285
C. Rs.1385
D. Rs.1485
22/7 * 14 * 3/2 * 3/2 = 99 m2
99 * 15 = 1485
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
A. 308 sq cm
B. 220 sq cm
C. 440 sq cm
D. 132 sq cm
r = 7 h = 3
2πr(h + r) = 2 * 22/7 * 7(10) = 440
The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
A. 30 π cc
B. 45 π cc
C. 150 π cc
D. 180 π cc
r = 3 h = 5
π * 3 * 3 * 5 = 45 π cc
The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
A. 18 πr2 sq units
B. 3 πr2 sq units
C. 12 πr2 sq units
D. 6 πr2 sq units
2 * π * 2r * 3r = 12 πr2
The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?
The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?
A. 2.66 cm
B. 2.5 cm
C. 3 cm
D. 3.5 cm
4/3 π * 3 * 3 * 3 = 4/3 π[(3/2)3 + 23 + r3]
r = 1.25
d = 2.5
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is________?
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is________?
A. 100π
B. 7π
C. 60π
D. 50π
4/3 π * 10 * 10 * 10 = 8 * 4/3 πr3
r = 5
4π * 5 * 5 = 100π
The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
A. 1:4
B. 1:16
C. 1:8
D. 1:64
4πr12 : 4πr22 = 1 : 4
r1 : r2 = 1 : 2
4/3 πr13 : 4/3 πr23
r13 : r23 = 1 : 8