5 A cone of slant height 25 cm has a curved surface area 550 cm? Find the
height and volume of the cone.
6. Find the volume of a cone having radius of the base 35 cm and slant
height 37 cm
7. The curved surface area of a cone is 4070 cm’ and its diameter is 70 cm
Find its slant height.
8. How many metres of cloth, 2.5 m wide, will be required to make
conical tent whose base radius is 7'm and height 24 metres?
9/ A right circular cone is 3.6 cm high and the radius of its base is 1.6 cm
is melted and recast into a right circular cone having base radius 1.2
Find its height
10. Two cones have their heights in the ratio 1:3 and the radii of their ba
in the ratio 3: 1. Show that their volumes are in the ratio 3:1.
11. A circus tent is cylindrical to a height of 3 metres and conical above
its diameter is 105 m and the slant height of the conical portion is 5
calculate the length of the canvas 5 m wide to make the required
Answers
Answer:
5 L = 25 CSA = 550 πRL = 550 22/7*R*25 = 550 R = 7 L^2 = H^2 + R^2 25^2 = H^2 + 7^2 625 = H^2 + 49 H^2 = 576 H = 24 V = 1/3πR^2H V = 1/3*22/7*7*7*24 V = 22*7*8 V = 1232
6 this is your answer lf you are satisfied with my answer please mark me as brainiest
7 d = 70
R = 35
CSA of cone = πRl
4070 = 22/7 * 35 * l
4070/35 = 22/7 * l
814/7 * 7/22 = l
37 cm = l
8 Considering 24m as the slant height...
The area required to make the conical tent is: pi x r x l
which is = pi x 7 x 24
= 168 pi
And so area of rectangular cloth is 168 pi
so the length required= 168 pi/ 2.5
= 211m (3sf)
9 For cone, h = 3.6 cm, r = 1.6 cm
Volume of the given cone = 1/3 x Π 2 h = (1/3 x 22/7 x 1.6 x .16 x 3.6) cm2
Radius of the second cone = 1.2 cm. Let its height be h1</sup> then,
Volume of the second cone = 1/3 x Π r2 h = 1/3 x 22/7 x 1.2 x h1
it is melted and recasted so , the volume of the cones would be equal, therefore
1/3 x 22/7 x 1.2 x h1 = 1/3 x 22/7 x 1.6 x .16 x 3.6
h1 = (1.6 x 1.6 x 1.6) / (1.2 x 1.2) = 6.4
Hence the height of the second cone is 6.4 cm
10 let the heights be 1x and 3x respectively
and their radii be 3y and 1y .
volume of cone1 = volume of cone 2
1/3rh =1/3rh
1/3(3y)x =1/3(1y)3x
9y * x =y*3x
9:3
3:1
11 The Length of the canvas required to make tent is 1947 m
Step-by-step explanation:
SOLUTION :
Given :
Diameter of cylinder and cone = 105 m
Radius of cylinder and cone ,r = 105/2 m = 52.5 m
Height of a cylindrical part ,h = 3 m
Slant height of a conical portion, l = 53 m
Width of a Canvas = 5 m
Curved surface area of circus tent = πrl + 2πrh
= πr(l + 2h)
= 22/7 × 52.5 (53 + 2 × 3)
= 22 × 7.5 ×(53 + 6)
= 165 × 59 = 9735 m²
Curved surface area of circus tent = 9735 m²
Length of the canvas required to make tent = Area of canvas/width of canvas = 9735/5 = 1947 m
Hence, the Length of the canvas required to make tent is 1947 m
Hope all the answers help you
And this pic is of question 6
Answer:
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