Bissoy.com
Doctors Medicines MCQs Q&A

The diameter of a right circular cone is 14 metres and the cost of colouring its total surface area @14 P per square metre is Rs. 58.52. From the given statement which of the following can be determined? A. Curved surface area of the cone B. Total surface area of the cone C. Volume of the cone D. Slant height of the cone

The diameter of a right circular cone is 14 metres and the cost of colouring its total surface area @14 P per square metre is Rs. 58.52. From the given statement which of the following can be determined? A. Curved surface area of the cone B. Total surface area of the cone C. Volume of the cone D. Slant height of the cone Correct Answer All of them

Given:

Diameter of cone is 14 m

Cost of colouring total surface area is Rs. 558.52 @ 14p per square metre

Formula Used:

Total surface area = πrl + πr2

Here, l = slant height, r = radius

Curved surface area of the cone = πrl

Calculation:

Radius of the cone = 7 metres

Let l be the slant height and h be the height

Total surface area = πrl + πr2 sq. metre      ----(1)

From the question, total surface area = 58.52/0.14 = 418 sq. metre     ----(2)

From (1) and (2) , we get value of l i.e. slant height

From (2), we get total surface area of the cone

Using value of l and r, we can find height, h = (l2 – r2)1/2

Volume of the cone = 1/3 πr2 h

Curved surface area of the cone = πrl

So, all of them can be found.

∴ All of them find by given statement

Related Questions

The diameter of a right circular cone is 14 metres and the cost of colouring its total surface area at the rate of 14 paisa per square metre is Rs. 58.52. From the given statement which of the following can be determined? A. Curved surface area of the cone B. Total surface area of the cone C. Volume of the cone D. Slant height of the cone
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
Curved surface area of Cone P is seven times the curved surface area of Cone Q. Slant height of Cone Q is seven times the slant height of Cone P. What will be the ratio of the area of the base of Cone P to the area of the base of Cone Q?
The sum and difference of the slant height and height of cone A are in the ratio 3 ∶ 1, while the sum and difference of the slant height and height of cone Y are in the ratio 5 ∶ 1. If the volume of cone A is 30% of the volume of cone B, then the height of cone A is what percentage of the height of cone B.
Which of the following statements is/are true? A: If radius of a cylinder is decreased by 50% and its volume remains same, then its height will be increased by 200%. B: Difference between the curved surface area and total surface area of a cone is equal to the area of its circular base. C: If height of a cylinder is equal to its radius, then its curved surface area will be equal to the total area of its both the circular bases.
Given below are two quantities named A and B. Based on the given information, you have to determine relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. Quantity A: Number of hemispheres that can be formed by melting a sphere having volume equal to the volume of right circular cylinder whose diameteris 6 cm and height is 4 cm. Also, radius of hemisphere formed is half the radius of sphere from which the hemisphere is formed. Quantity B: Number of ice cream cones that can be made from a right circular cylinder shape ice cream container having radius 6 cm and height 5 cm. Ice cream cone to be made should have height 4 cm and slant height 5 cm and there should be a hemisphere made on top of the cone having radius equal to the radius of cone.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: There is a square field of side 4 meter. A flower bed is to be prepared in its centre, leaving a gravelled path of uniform length around the flowerbed. The cost of preparing the flowerbed and gravelling the path is Rs. 100 and Rs. 200 per square meter respectively. If the total cost is Rs. 1756 then find the double of  width of gravelled path. Quantity 2: The height of a cone is 45 cm. A small cone is cut from it parallel to the base. If the ratio of volume of small cone and the remaining part is 8 : 19 then what is the height from the base from where the cone was cut? Quantity 3: A cylindrical container of radius 60 cm and height 150 cm is filled with ice cream. 10 cones of equal volume need to be prepared from the whole ice-cream. These cones has hemispherical top and the height of the conical portion is 4 times the radius of hemisphere. Find radius of the hemisphere. 
The dimensions of a room are 12.5 metres by 9 metres by 7 metres. There are 2 doors and 4 windows in the room; each door measures 2.5 metres by 1.2 metres and each window 1.5 metres by 1 metre. Find the cost of painting the walls at Rs. 3.50 per square metre.
Let X be a right circular cylinder with height ‘h’ and diameter ‘d’, Y be a right circular cone with height and diameter equal to that of cylinder X and Z be a sphere of maximum volume that can be inscribed in the cylinder X. Consider the following statements: 1. If d < h, then the volume of Y is (h/2d) times the volume of Z. 2. If d > h, then the volume of Y is (d2/2h2) times the volume of Z. Which of the above statements is/are correct?