Advertisements
Advertisements
प्रश्न
A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m. How many students can sit in the tent if a student, on an average, occupies `5/7` m2 on the ground?
उत्तर
Given: Radius of the base of a conical tent = 5 cm
Area needs to sit a student on the ground = `5/7` m2
So, area of the base of a conical tent = `pir^2`
= `22/7 xx 5 xx 5 m^2`
Now, number of students = `"Area of the base of a conical tent"/"Area needs to sit a student on the ground"`
= `((22 xx 5 xx 5)/7)/(5/7)`
= `22/7 xx 5 xx 5 xx 7/5`
= 110
Hence, 110 students can sit in the conical tent.
APPEARS IN
संबंधित प्रश्न
A hemispherical bowl of diameter 7.2 cm is filled completely with chocolate sauce. This sauce is poured into an inverted cone of radius 4.8 cm. Find the height of the cone.
Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find the radius of the base and total surface area of the cone.
The radius and the height of a right circular cone are in the ratio 5 : 12. If its volume is 314 cubic meter, find the slant height and the radius (Use it 𝜋 = 3.14).
The diameter of two cones are equal. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surface areas.
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 volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the:
- radius of the floor,
- height of the tent,
- length of the canvas required to cover this conical tent if its width is 2 m.
Find the volume of the right circular cone whose height is 12 cm and slant length is 15 cm . (π = 3.14)
The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the: height of the tent.
The circumference of the base of a 10 m high conical tent is 44 metres. Calculate the length of canvas used in making the tent if the width of the canvas is 2m. (Take π = 22/7)
A metallic cylinder has a radius of 3 cm and a height of 5 cm. It is made of metal A. To reduce its weight, a conical hole is drilled in the cylinder, as shown and it is completely filled with a lighter metal B. The conical hole has a radius of `3/2` cm and its depth is `8/9` cm. Calculate the ratio of the volume of the metal A to the volume of metal B in the solid.
