हिंदी

The Curved Surface Area of a Right Circular Cone of Radius 11.3 Cm is 710 Cm2. What is the Slant Height of the Cone ? - Mathematics

Advertisements
Advertisements

प्रश्न

The curved surface area of a right circular cone of radius 11.3 cm is 710 cm2. What is the slant height of the cone ? 

योग

उत्तर

Curved surface area = 710 cm2

Radius (r) of base = 11.3 cm

Let Slant height be l .

`therefore pirl = 710`

⇒ `22/7 xx 11.3 xx l = 710`

⇒ `l = (710 xx 7)/(11.3 xx 22)`

⇒ l = 19.99 cm = 20cm

The slant height is 20 cm.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 20: Mensuration II - Exercise 20.1

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 20 Mensuration II
Exercise 20.1 | Q 15

संबंधित प्रश्न

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find

  1. radius of the base and
  2. total surface area of the cone.

`["Assume "pi =22/7]`


A conical tent is 10 m high and the radius of its base is 24 m. Find

  1. slant height of the tent.
  2. cost of the canvas required to make the tent, if the cost of 1 m2 canvas is ₹ 70.

`["Assume "pi=22/7]`


A joker’s cap is in the form of right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

`["Assume "pi=22/7]`

 


The radius and slant height of a cone are In the ratio of 4 : 7. If its curved surface area is 792 cm2, find its radius. (Use it 𝜋 = 22/7).


The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs. 210 per l00 m2. 


A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the  tent. If the cost of 1 2 m canvas is Rs. 70, find the cost of the canvas required to make the tent.


A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, show that the radius of each is to the height of each as 3:4.


If the radius of the base of a cone is halved, keeping the height same, what is the ratio of the volume of the reduced cone to that of the original cone?  


Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.  

 


The circumference of the base of a 12 m high conical tent is 66 m. Find the volume of the air contained in it.


A heap of wheat is in the form of a cone of diameter 16.8 m and height 3.5 m. Find its volume. How much cloth is required to just cover the heap?


Find what length of canvas, 1.5 m in width, is required to make a conical tent 48 m in diameter and 7 m in height. Given that 10% of the canvas is used in folds and stitchings. Also, find the cost of the canvas at the rate of Rs. 24 per metre.


A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. Find the number of cones formed. 


The given figure shows the cross section of a water channel consisting of a rectangle and a semi-circle. Assuming that the channel is always full, find the volume of water discharged through it in one minute if water is flowing at the rate of 20 cm per second. Give your answer in cubic metres correct to one place of decimal. 

 


A solid, consisting of a right circular cone standing one a hemisphere, is placed upright in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of
the hemisphere is 2 cm and the height of cone is 4 cm. Give your answer to the nearest cubic centimeter.


What will be the cost of making a closed cone of tin sheet having radius of base 6 m and slant height 8 m if the rate of making is Rs.10 per sq.m? `(π = 22/7)`


The total surface area of a right circular cone of slant height 13 cm is 90π cm2. Calculate: its volume in cm3. Take π = 3.14 


The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is


A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m. Find the volume of the cone.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×