Welcome to your Mensuration(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. The angle of a sector of a circle of radius 4.2 cm is 150°.If π = 22/7, the perimeter of the sector is 15.2 cm 16.8 cm 11 cm 19.4 cm 2. A hollow cylinder of base radius 7 cm and height 10 cm is closed at one end.If π = 22/7, then its volume is 3080 cm3 440 cm3 1540 cm3 70 cm3 3. A open cylindrical container has a base radius of 3.5 cm. If the ratio of the area of its base to that of its curved surface is 1 : 6, the height of the container is 3.5 cm 1.75 cm 10.5 cm 7.0 cm 4. An open, rectangular wooden box of internal depth 40 cm has a base of internal dimensions 50 cm by 30 cm. If the box is made of wood of thickness 1 cm, the total volume of wood in the box is 8,224 cm3 12,000 cm3 8,552 cm3 9,888 cm3 5. A cone of height 12 cm has a volume of 330 cm³. The volume of a cone wih the same radius but of height 8cm is 220 cm3 146 2/3 cm3 270 cm3 300 cm3 6. A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle? 2 4√2 2√2 √2 7. A square tile measures 20 cm by 20 cm. How many of such tiles will cover a floor measuring 5m by 4m 400 250 320 500 8. The length of the circumference of a circle equals the perimeter of a triangle of equal sides, and also the perimeter of a square. The areas covered by the circle, triangle, and square are c, t and s, respectively. Then, c > s > t c > t > s s > t > c s > c > t 9. In the figure below, ABCDEF is a regular hexagon and <span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #4c4c4c;font-family: 'Open Sans', sans-serif;background-color: #ffffff" role="presentation" data-mathml="∠">∠∠ AOF <span id="MathJax-Element-2-Frame" class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #4c4c4c;font-family: 'Open Sans', sans-serif;background-color: #ffffff" role="presentation" data-mathml="=90∘">=90∘=90∘ . FO || <span id="MathJax-Element-3-Frame" class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #4c4c4c;font-family: 'Open Sans', sans-serif;background-color: #ffffff" role="presentation" data-mathml="ED">EDED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF? 1/24 1/18 1/6 1/12 10. A cow is tethered to one corner of a square field with side 20 m with a rope equal to the length of a side of the field. Another cow is tethered at the diagonally opposite corner with the grazing area just touching each other. What is the total grazing area? 150π(2 - √2) 200π(2 - √2) 200π(4 - √2) 100π(2 - √2) 11. Four horses are tethered at four corners of a square plot of side 14 m so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m2 at the centre. Find the ungrazed area. 22 m² 168 m² 84 m² 42 m² 12. If a cube of maximum possible volume is cut off from a solid sphere of diameter d, then the volume of the remaining (waste) material of the sphere would be equal to d³/3 (π/2 - 1/√3) π - d d³/4 (√2 - π) d³/3 (π - d/2) 13. The volume of a cone of radius 6 cm and vertical height 7 cm is take (π= 22/7) 21 cm3 264 cm3 42 cm3 26.4 cm3 14. The ratio of the sides of two similar rectangular blocks is 5 : 3. If the volume of the smaller block is 324 cm³, that of the other block is 900 cm3 1500 cm3 864 cm3 540 cm3 15. One of the two parallel sides of a trapezium is one-half the length of the other.If the height of the trapezium is 7 cm and its area is 52.5 cm², the length of the parallel sides are 7.5 cm, 15 cm 5 cm, 10 cm 2.5 cm, 5 cm 10 cm, 20 cm 16. The area of the triangle shown is 5 cm². The angle a is 90° 30° 60° 45° 17. An equilateral triangle circumscribes all the six circles, each with radius 1 cm. What is the perimeter of the equilateral triangle? 12(√3+4) cm 3(√3+2) cm 6(2+√3) cm 6(2-√3) cm 18. Find the volume of a closed cylindrical container with radius 5 cm and a height of 34 cm. 850π cubic cm 450π cubic cm 950π cubic cm 704 cubic cm 19. Glass spheres (which submerge fully in water) of radius 7 mm are dropped into a cylindrical vessel containing some water. The diameter of the vessel is 14 cm. Find how many spheres have been dropped in it if the water level rises by 3.5 cm? 256 300 375 37 20. In the figure, PQ//TS, TP//SQ, PQ = 4 cm, QR = 3 cm and RS = 6 cm. The ratio of the area of PQST to the area of PQRST is 2:3 3:5 4:7 8:11 21. Find the area of the shaded region in the given figure of square ABCD 192 cm² 128 cm² 128 cm² 148 cm² 22. Three identical cones with base radius r are placed on their base so that each is touching the other two. The radius of the circle drawn through their vertices is [1] smaller than r larger than r smaller than r equal to r depends on the height of the cone 23. The volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is 9 1/6 6 12 24. Find the dimensions of the rectangle that has a length 3 meters more that its width and a perimeter equal in value to its area? W = 1, L = 3 w = 3, L = 6 W = 2, L =4 W = 5, L = 6 25. The ratio of the heights of two circular cylinders is 1 : 3 and the ratio of their base radii is 5 : 4.The ratio of their volumes is 75:16 45:4 5:36 25:48 1 out of 25 Time is Up! Time's up