Volumes of two spheres are in the ratio 64:27. The ratio of their surface area is
3:4
4:3
9:16
16:9
A wooden article was made by scooping out a hemisphere from each end of a cylinder. If the height of the cylinder is 10cm and its base is of diameter 7cm, find the total surface area of the article when it is ready.
370 cm2
371 cm2
373 cm2
374 cm2
A spherical ball of lead 3 cm in diameter, is melted and recast into three spherical balls. The diameter of two of these balls are 1.5 cm and 2 cm respectively. Then, the diameter of the third ball is
3 cm
2.5 cm
2.6 cm
3.5 cm
A hemispherical depression is cut from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
l2/2(26+Π)
l2/4(24+Π)
l2/2(26+Π2)
l2/4(26+Π)
If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the ratio
1 : 8
2 : 1
1 : 2
8 : 1
If height of a cone is tripled and radius is doubled then its volume will become ----- times.
12
8
4
2
A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone.
20cm
24.5cm
26cm
28.44cm
If radius of a sphere is doubled then its volume becomes ---- times.
1
Three sphere of radii 3cm, 4cm and 5cm are melted to form a new sphere. Then, the radius of the new sphere is
6cm
7.5cm
10cm
12cm
The diameter of a copper sphere is 6cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 36cm, find its radius.
1cm
1.5cm
2cm
3cm