मराठी
सी.आई.एस.सी.ई.आयसीएसई ICSE Class 8

Find the Height of the Cylinder Whose Radius is 7 Cm and the Total Surface Area is 1100 Cm2.

Advertisements
Advertisements

प्रश्न

Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm2.

बेरीज
Advertisements

उत्तर

Total surface area =1100 cm2
Radius = 7 cm
Let height of the cylinder = h
Then, total surface area = 2πr(h + r)

⇒ `2 xx 22/7 xx 7(h + 7) = 1100`

⇒ `44(h + 7) = 1100`

⇒ `44h + 308 = 1100`

⇒ `44h = 1100 - 308`

h = `792/44 = 18` cm

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 23: Surface Area, Volume and Capacity - Exercise 21 (D) [पृष्ठ २४२]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
पाठ 23 Surface Area, Volume and Capacity
Exercise 21 (D) | Q 3 | पृष्ठ २४२

संबंधित प्रश्‍न

A water tank is 3 m long, 2 m broad and 1 m deep. How many litres of water can it hold?


A village, having a population of 4000, requires 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?


A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.


The dimensions of a cuboid are in the ratio 5 : 3 : 1 and its total surface area is 414 m2. Find the dimensions.


A classroom is 7 m long, 6 m broad and 3.5 m high. Doors and windows occupy an area of 17 m2. What is the cost of white-washing the walls at the rate of Rs 1.50 per m2.


If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that \[\frac{1}{V} = \frac{2}{S}\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)\]


The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions.


The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs 3.50 per square metre.


The cost of preparing the walls of a room 12 m long at the rate of Rs 1.35 per square metre is Rs 340.20 and the cost of matting the floor at 85 paise per square metre is Rs 91.80. Find the height of the room.


A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.


The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is


Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is


If each edge of a cube, of volume V, is doubled, then the volume of the new cube is


Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.


The dimensions of a Cinema Hall are 100 m, 60 m, and 15 m. How many persons can sit in the hall if each requires 150 m3 of air? 


The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm2; find its dimensions. Also, find the volume of the cuboid.


The total surface area of a cube is 216 cm2. Find its volume.


A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of the edge 2 cm; find the number of smaller cubes obtained.


How many persons can be accommodated in a big-hall of dimensions 40 m, 25 m, and 15 m; assuming that each person requires 5 m3 of air?


The dining-hall of a hotel is 75 m long; 60 m broad and 16 m high. It has five – doors 4 m by 3 m each and four windows 3 m by 1.6 m each. Find the cost of :

(i) papering its walls at the rate of Rs.12 per m2;
(ii) carpetting its floor at the rate of Rs.25 per m2.


Find the area of metal-sheet required to make an open tank of length = 10 m, breadth = 7.5 m and depth = 3.8 m.


The capacity of a rectangular tank is 5.2 m3 and the area of its base is 2.6 x 104 cm2; find its height (depth).


A cylindrical pillar has a radius of 21 cm and a height of 4 m. Find:

  1. The curved surface area of the pillar.
  2. cost of polishing 36 such cylindrical pillars at the rate of ₹12 per m2.

Find the total surface area of the cuboid of length, breadth, and height as given below:
8 m, 5 m, 3.5 m

The length and breadth of a cuboid are 20 cm and 15 cm respectively. If its volume is 2400 cm3, find its height.


Find the volume of a cuboid whose diagonal is `3sqrt(29)"cm"` when its length, breadth and height are in the ratio 2 : 3 : 4.


How much sheet metal is required to make a closed rectangular box of length 1.5 m, breadth 1.2 m, and height 1.3 m?


The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is


All six faces of a cuboid are ______ in shape and of ______ area.


Two cuboids with equal volumes will always have equal surface areas.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×