The water is leaking from a conical funnel at a rate of `5cm^(3)//min`. If the redius and height of the funnel are 5cm.and 10 cm respectively, find the rate of change of the surface of water in the funnel when height of water surface from the vertex is `7.5 cm`.
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The rate of effusion of a particular gas whas measured to be 40ml/min. Under same condition the rate of effusion of pure methane was 20ml/min. Then fi
`(r_(CH_(4)))/(r_(gas))=sqrt((M_(gas))/(16))=(20)/(40)=(1)/(2)` `M_(gas)=4gm`
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The redius of curvature of the convex face of a plano-convex lens is 12cm and its refractive index is 1.5. a. Find the focal length of this lens. The
Correct Answer - (a) `+24 cm`; (b) `- 36cm` (c) `12 cm`(d) `- 180 cm`
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The base of a cubical tank is `25 m xx 40 m`. The volume of water in the tank is increasing at the rate of `500 m^(3)//min`. Find the rate at which th
Correct Answer - `0.5 m//min`
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The oil is leaking from a drum at a rate of `16 cm^(3)//sec`. If the radius and height of drum are 7 cm and 60 cm respectively, find the rate of chang
Correct Answer - `16/(49 pi) cm//sec`
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There is an error of `0.2%` in measurment of the redius of a sphere. Find the percentage error in its (i) volume, (ii) surface.
Correct Answer - `(i) 0.6% (ii) 0.4%`
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The base radius of a conical tent is 120 cm and itsslant height is 750 cm. Find the area of the canvasrequired to make 10 such tents (in m2). (Take pi
Correct Answer - 282.6 `m^(2)`
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The cost of the canvas required to make a conical tent of base radius 8 m at the rate of Rs. 40 per `m^(2)` is Rs. 10048. Find the height of the tent.
Correct Answer - 251.2 `m^(2)`, 6 m
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A river is flowing from the west to the east at 5m/min. A swimmer on the southerm bank can swim at 10 m/min in still water. In what direction should h
Correct Answer - (i) south to north (ii) `30^(@)` west of north
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The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of whitewashing its curved surface at the rate of R
Correct Answer - Rs 6600
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A conical tent is 10m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of `1 m^(2)` canvas is Rs 70, find the c
Correct Answer - 26m, Rs 137280
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