Advertisements
Advertisements
Question
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
Advertisements
Solution
Let r be the radius of the bowl.
∴ 2πr = 198
`=> r = (198 xx 7)/(2 xx 22)`
`=>` r = 31.5 cm
Capacity of the bowl
= `2/3pir^3`
= `2/3 xx 22/7 xx (31.5)^3`
= 65488.5 cm3
RELATED QUESTIONS
Find the surface area of a sphere of diameter 3.5 m.
`["Assume "pi=22/7]`
A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.
Find the surface area of a sphere of diameter 3.5 cm.
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the
ratio of their surface areas.
The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their :
- radii,
- surface areas.
If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )
Find the radius of a sphere whose surface area is equal to the area of the circle of diameter 2.8 cm
A solid metallic cylinder has a radius of 2 cm and is 45 cm tall. Find the number of metallic spheres of diameter 6 cm that can be made by recasting this cylinder .
A conical tent is to accommodate 77 persons. Each person must have 16 m3 of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.
