Volume and Surface Area Practice Question and Answer
8 Q: A semicircle is folded to make a cone. Find the height (in cm) of the cone if diameter of the semicircle is 28 cm?
1498 0601a4f64552e5f41f7b07047
601a4f64552e5f41f7b07047- 1$$ {7\sqrt{3}}$$true
- 2$$ {14\sqrt{3}}$$false
- 3$$ {7\sqrt{5}}$$false
- 4$$ {7\sqrt{13}}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "$$ {7\sqrt{3}}$$"
Q: The length, breadth and height of a room is 21 metres, 12 metres and 16 metres. What will be the length of the largest rod that can be placed in that room?
1496 0610c66037588510aa0d4d2f3
610c66037588510aa0d4d2f3- 132 metresfalse
- 225 metresfalse
- 331 metresfalse
- 429 metrestrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "29 metres"
Q: A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?
1494 05ee9a1f7b1ffa91fd4a38bec
5ee9a1f7b1ffa91fd4a38bec- 153500false
- 249500false
- 351500false
- 452500true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "52500"
Q: The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle?
1489 0602e05409f2a38430909bb32
602e05409f2a38430909bb32- 1110 cmfalse
- 2132 cmfalse
- 366 cmfalse
- 488 cmtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "88 cm"
Q: The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?
1477 05f4df4075e74bc4ee553f5cd
5f4df4075e74bc4ee553f5cd- 1$$ {\sqrt{3}:1}$$false
- 2$$ {1 : \sqrt{3}}$$false
- 3$$ {2 : \sqrt{3}}$$true
- 4$$ {4 : \sqrt{3}}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "$$ {2 : \sqrt{3}}$$"
Q: A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :
1472 060c08c42e3298a2dec40d26d
60c08c42e3298a2dec40d26d- 1$$ {81 π \ cm^{3}}$$false
- 2$$ {100 π \ cm^{3}}$$true
- 3$$ {91 π \ cm^{3}}$$false
- 4$$ {110 π \ cm^{3}}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "$$ {100 π \ cm^{3}}$$"
Q: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be:
1469 05ffc324723210f22f330326c
5ffc324723210f22f330326c- 120 cmfalse
- 250 cmfalse
- 335 cmfalse
- 425 cmtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "25 cm"
Q: What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?
1452 05eccef537bb74b48ff93a881
5eccef537bb74b48ff93a881- 1πr (l + r)true
- 22πr (l+r)false
- 3πrlfalse
- 4$$ 2πrl^2$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice