3D Geometry: Mensuration Practice Problems: Level 01

Q.1. If area of circle is equal to volume of sphere with equal radii, find the radius.
1. √3
2. √3/2
3. 1 / 2
4. 3/4
5. 1
Q.2. The length of a garden is thrice its breadth. A playground measuring 180 sq. m occupies 1/15th of the total area of the garden. The length of the garden is
1. 60 m
2. 30 m
3. 40 m
4. 50 m
5. 90 m
Q.3. The perimeter of an equilateral triangle is 96√3 cm. Find its height.
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1. 32 cm
2. 48 cm
3. 16 cm
4. 64 cm
5. 24 cm
Q.4. If the ratio of radius of two spheres is 4:7, the ratio of their volume is
1. 4 : 7
2. 64 : 343
3. 49 : 16
4. 16 : 49
5. None of these
Q.5. The diameter (in meter) of a sphere whose volume is 268 (4/21) m3 is
1. 6
2. 12
3. 8
4. 24
5. 16
Q.6. The slant height of a right circular cone is 13 m and its height is 5 m. Find area of the curved surface.
1. 490.28 m2
2. 288.28 m2
3. 450m2
4. 200 m2
5. None of these
Q.7. Ratio of Volumes of cube and Sphere is 6/π. Find the ratio of side of cube and radius of sphere.
1. 2: 1
2. 3: 1
3. 4: 1
4. 5: 1
5. 1: 2
Q8. What is the radius of a circle if its circumference is numerically equal to four times its area?
1. 1/ 2
2. 3
3. 1
4. 4
5. 5
Q9. Find the area of an isosceles triangle whose sides are 10 cm, 6 cm and 6 cm.
1. 25√11 sq. cm.
2. √11 sq. cm.
3. 5 sq. cm.
4. 11 sq. cm.
5. 5√11 sq. cm.
Q10. The surface area of a sphere is 616cm2. Find its radius.
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1. 8cm
2. 10 cm
3. 9 cm
4. 11 cm
5. 7 cm