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Question Detail
A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.
- 42 m sqaure
- 49 m sqaure
- 52 m sqaure
- 64 m sqaure
Answer: Option B
Explanation:
Area of the wet surface =
2[lb+bh+hl] - lb = 2 [bh+hl] + lb
= 2[(4*1.25+6*1.25)]+6*4 = 49 m square
1. A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by:
- 1137cm
- 1127cm
- 1117cm
- 11cm
Answer: Option A
Explanation:
Let the drop in the water level be h cm, then,
Volume of cylinder= πr2h=>227∗352∗352∗h=11000=>h=11000∗7∗422∗35∗35cm=807cm=1137cm
2. The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side.
- Rs. 850
- Rs. 860
- Rs. 876
- Rs. 886
Answer: Option C
Explanation:
We will first calculate the Surface area of cube, then we will calculate the quantity of paint required to get answer.
Here we go,
Surface area =6a2=6∗82=384sq feetQuantity required =38416=24kgCost of painting =36.50∗24=Rs.876
3. The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is:
- 79.8cm3
- 79.4cm3
- 89.8cm3
- 89.4cm3
Answer: Option C
Explanation:
Volume of the largest cone = Volume of the cone with diameter of base 7 and height 7 cm
Volume of cone =13πr2h=13∗227∗3.5∗3.5∗7=269.53cm3=89.8cm3
Note: radius is taken as 3.5, as diameter is 7 cm
4. A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is :
- 45%
- 56%
- 67%
- 75%
Answer: Option D
Explanation:
We will first subtract the cone volume from wood volume to get the wood wasted.
Then we can calculate its percentage.
Sphere Volume =43πr3Cone Volume =13πr2hVolume of wood wasted =(43π∗9∗9∗9)−(13π∗9∗9∗9)=π∗9∗9∗9cm3Required Percentage =π∗9∗9∗943π∗9∗9∗9∗100%=34∗100%=75%
5. If a right circular cone of height 24 cm has a volume of 1232 cm cube, then the area of its curved surface is :
- 450cm2
- 550cm2
- 650cm2
- 750cm2
Answer: Option B
Explanation:
Volume is given, we can calculate the radius from it, then by calculating slant height, we can get curved surface area.
13∗π∗r2∗h=123213∗227∗r2∗24=1232r2=1232∗7∗322∗24=49r=7Now, r = 7cm and h = 24 cm l=√r2+h2=√72+242=25cmCurved surface area =πrl=227∗7∗25=550cm2
Thanks ! Your comment will be approved shortly !
-
Ajay 11 years ago
why we subtract lb from it
-
Admin 11 years ago
Dear Sachin,
As, we got,
2[lb+bh+hl] - lb
Open the bracket by multiplying by 2, we will get2lb + 2bh + 2hl - lb
= 2bh + 2 hl + lb
= 2 [bh + hl] + lbIn this way we got it.
-
Sachin 11 years ago
Can anyone please explain this formula step by step
2[lb+bh+hl] - lbHow did you got - lb
2 [bh+hl] + lb
How did you got + lb. Once the bracket are open, the sign should - not +
Will really appreciate for your reply
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