If the number of square centimetres on the surface of a sphere is equal to the number of cubic centimetres in its volume, what is the diameter of the sphere?
3
4
2
6
The circumference of the base of a 12m high conical tent is 66m. Find the volume of the air contained in it.
1386 m3
1286 m3
1368 m3
1268 m3
The curved surface area of a cone is 12320cm2.If the radius of its base is 56cm, find its height.
43 cm
32 cm
45 cm
42 cm
The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find internal curved surface area.
369cm2
963 cm2
693 cm2
369 cm2
A sphere of radius 8cm is melted and recast into a right circular cone of height 32 cm. Find the radius of the base of the cone.
6 cm
8 cm
7 cm
9 cm
A racing track is bounded by two concentric circles with circumferences 220m and 286m. Calculate the area of the racing track.
2656.5 m2
2600 m2
2656 m2
2665.5m2
Find the depth of a cylindrical tank of radius 28m, if its capacity is equal to that of a rectangular tank of size 28m x 16 m x 11m.
2.5 m
2 m
2.75 m
3 m
The diameters of two cones are equal. If their slant heights are in the ratio of 5 : 4, find the ratio of their curved surface area.
4 : 5
5 : 5
5 : 4
4 : 4
If the diameter of the cross - section of a wire is decreased by 20%, how much percent will the length be increased so that the colume remains the same?
56.28
26.52
56
56.25
The square areas of two spheres are in the radius of 9 : 25. Then their volumes are in the ratio
81 : 625
729 : 15625
27 : 75
27 : 125