हिंदी

A Swimming Pool is 18 M Long and 8 M Wide. Its Deep and Shallow Ends Are 2 M and 1.2 M Respectively. Find the Capacity of the Pool, Assuming that the Bottom of the Pool Slopes Uniformly - Mathematics

Advertisements
Advertisements

प्रश्न

A swimming pool is 18 m long and 8 m wide. Its deep and shallow ends are 2 m and 1.2 m respectively. Find the capacity of the pool, assuming that the bottom of the pool slopes uniformly. 

योग
Advertisements

उत्तर

Length of pool = 18 m

Breadth of pool = 8 m

Height of one side = 2m

Height on second side = 1.2 m

∴ Volume of pool = 18 x 8 x `(( 2 + 1 . 2 ))/( 2 )` m3

= `( 18 xx 8 xx 3.2 )/( 2 )`

= 230.4 m

shaalaa.com
Cross Section of Solid Shapes
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 21: Solids [Surface Area and Volume of 3-D Solids] - Exercise 21 (B) [पृष्ठ २७३]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 21 Solids [Surface Area and Volume of 3-D Solids]
Exercise 21 (B) | Q 9 | पृष्ठ २७३

संबंधित प्रश्न

The following figure shows a solid of uniform cross-section. Find the volume of the solid. All measurements are in centimeters.
Assume that all angles in the figures are right angles.


A swimming pool is 40 m long and 15 m wide. Its shallow and deep ends are 1.5 m and 3 m deep respectively. If the bottom of the pool slopes uniformly, find the amount of water in liters required to fill the pool.


A rectangular cardboard sheet has length 32 cm and breadth 26 cm. Squares each of side 3 cm, are cut from the corners of the sheet and the sides are folded to make a rectangular container. Find the capacity of the container formed.


The cross-section of a tunnel perpendicular to its length is a trapezium ABCD as shown in the following figure; also given that:

AM = BN; AB = 7 m; CD = 5 m. The height of the tunnel is 2.4 m. The tunnel is 40 m long. Calculate:

(i) The cost of painting the internal surface of the tunnel (excluding the floor) at the rate of Rs. 5 per m2 (sq. meter).

(ii) The cost of paving the floor at the rate of Rs. 18 per m2.


Find the length of a solid cylinder of diameter 4 cm when recast into a hollow cylinder of outer diameter 10 cm, thickness 0.25 cm and length 21 cm? Give your answer correct to two decimal places.


The cross section of a piece of metal 2 m in length is shown. Calculate the area of cross section.


A swimming pool is 50 m long and 15 m wide. Its shallow and deep ends are 1.5 m and 4.5 m respectively. If the bottom of the pool slopes uniformly, find the amount of water in kilolitres required to fill the pool (1 m3 = 1000 liters).


The cross section of a tunnel perpendicular to its length is a trapezium ABCD as shown in the figure. AM = BN; AB = 4.4 m, CD = 3 m The height of a tunnel is 2.4 m. The tunnel is 5.4 m long. Calculate the cost of painting the internal surface of the tunnel (excluding the floor) at the rate of Rs. 5 per m2.


ABCDE is the end view of a factory shed which is 50 m long. The roofing of the shed consists of asbestos sheets as shown in the figure. The two ends of the shed are completely closed by brick walls.

Calculate the total volume content of the shed.


ABCDE is the end view of a factory shed which is 50 m long. The roofing of the shed consists of asbestos sheets as shown in the figure. The two ends of the shed are completely closed by brick walls.
Find the total surface area (including roofing) of the shed.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×