A solid cylinder with a height of 8 units and a radius of 3.5 units is to be covered with a paper sheet. If the cost of the paper sheet is ₹40 per 5 square units, the cost (in ₹) of covering the cylinder is________.(Take ∏=22/7)
If the curved surface area of a cylindrical pipe is 44,000 cm? and its diameter is 5 cm, find its length.
(Take ∏=22/7)
What will be the volume (V) of the cuboid, if its length is doubled, height is halved and
breadth is tripled?
A cylindrical tank of height 10 m and radius 5 m has a small circular cut of 0.5 m radius on its top surface. What would be the total surface area of the tank?
An oil dealer had three types of oil. 403 litres of the first kind, 434 litres of the second kind and 465 litres of the third kind. Find the maximum volume of oil, filled in each barrel, if equal number of barrels are filled.
A shot-put made of iron with a diameter of 12 cm is melted into a solid cylinder with a height of 2cm. What is the diameter of cylinder made ?
A right circular cone of height h and radius R is cut by a plane parallel to the base at a distance h/4 from the base. The ratio
of the curved surface areas of the resulting cone to the frustum is:
What is the number of gold coins, each having a radius of 0.875 cm and a thickness of 2 mm, that need to be melted to create a cuboid with dimensions 5.5 cm × 5 cm x 3.5 cm? (Use ∏=22/7 )
20 identical solid hemispheres of radius 3 cm are melted to form a big solid hemisphere. What is the radius (in cm) of the biggest hemisphere formed, if 20% of the solid is wasted during the process?
If the edge of a cube is tripled, then its volume increases to_____________ times to its original volume.
If the radius of a sphere is tripled, what is the ratio of the volume of the original sphere to that of the new sphere?
A shopkeeper has one spherical laddoo of radius 7 cm. With the same material, how
many laddoos of radius 3.5 cm can be made?
If the radius of a cylinder is increased by 10% and height remains unchanged, then what is the percentage of increase in volume ?
A batsman has an average of 36.5 runs in 10 innings. How many runs should he get in the next two innings to make the average 40.
The volume of a cylinder is twice the volume of a sphere whose radius is twice the height of the cylinder. Then the ratio of the radius of the cylinder to the height is:
If the radius of a cylinder is increased by 10% and height remains unchanged, then what is the percentage of increase in volume ?
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
ഒരു സമചതുരത്തിന്റെ ചുറ്റളവ് ഒരു ദീർഘചതുരത്തിന്റെ ചുറ്റളവിന്റെ നാലിലൊന്ന് ആണ്. സമചതുരത്തിന്റെ ചുറ്റളവ് 44 സെന്റിമീറ്ററും ദീർഘചതുരത്തിന്റെ നീളം 51 സെന്റിമീറ്ററും ആണെങ്കിൽ, ദീർഘചതുരത്തിന്റെ വീതിയും സമചതുരത്തിന്റെ വശവും തമ്മിലുള്ള വ്യത്യാസം എന്താണ്?
രണ്ട് അർദ്ധ ഗോളങ്ങളുടെ ആരങ്ങൾ തമ്മിലുള്ള അനുപാതം 3 : 4 ആണെങ്കിൽ അവയുടെ വക്രതല വിസ്തീർണങ്ങൾ തമ്മിലുള്ള അനുപാതം എത്ര ?
Find the equation of the circle concentric with the centre x²+y²-4x-6y-9=0 and passing through the point (-4,-5) ?
A sphere of surface area 500𝝅 square centimeters is cut into two equal hemispheres. The surface area of each hemisphere in square centimeters is
A quadrilateral is given in the figure. The length of one diagonal is 16 centimeters and the lengths of the perpendiculars from the opposite vertices to that diagonal are 9 centimetres and 7 centimetres. The area of the quadrilateral in square centimeters is :
A courtyard is 16 metres long and 8 metres broad. How many square tiles of side 40 centimeters are required to pave the courtyard?
Observe the picture of a hall. It has been divided by a line. One part of the hall is a stage of length x and breadth y. The remaining area of the hall is a square. What is the total area of the hall?
In the figure, APCB is a trapezium. AF is parallel to BC. The diagonals of the trapezium divide it into four parts. The areas of two parts are given as 45 and 15 sq. units. The area of the trapezium in sq units is:
The base radii of two cones are in the ratio 5:3 and their heights are equal. If the volume of the first cone 750𝝅 cu centimeters, then what is the volume of the second come cu. centimeters?
A rectangle has a perimeter 64 centimeters. Its length is represented by 4x + 6 and breadth by 3x - 2 What is its length and breadth in centimeters?
A square pyramid of base edge 10 centimeters and slant height 12 centimetres is made of paper.What are the lengths of the edges of the lateral face in centimetres?
The lengths of the adjacent sides of a parallelogram are 5 centimetres and 12 centimetres. The length of one of its diagonals is 13 centimetres. The area of the parallelogram is :
A rectangular box is of length 3 metres, breadth 2 metres and height 1 metre. How many bricks of length 30 centimetres , breadth 20 centimetres and height 10 centimetros will exactly fill the box?
If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:
What is the C.S.A of resulting solid if two identical cubes are joined end to end together with the length of the sides of the cube is 4 m?