Advertisements
Advertisements
Question
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)`
Solution
Radius of the base of cone, r = 6 m
Slant height of the cone, l = 8 m
∴ Total surface area of the cone = πr(r + l)
= `22/7 xx 6 xx (6 + 8)`
= `22/7 xx 6 xx 14`
= 264 m2
Rate of making the cone of tin sheet = Rs 10/m2
∴ Total cost of making the cone of tin sheet
= Total surface area of the cone × Rate of making the cone of tin sheet
= 264 × 10
= Rs 2640
Thus, the cost of making the cone of tin sheet is Rs 2640.
APPEARS IN
RELATED QUESTIONS
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.
`["Assume "pi=22/7]`
Find the curved surface area of a cone with base radius 5.25 cm and slant height 10cm.
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 radius and the height of a right circular cone are in the ratio 5 : 12 and its volume is 2512 cubic cm. Find the radius and slant height of the cone. (Take 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 area of the base of a conical solid is 38.5 cm2 and its volume is 154 cm3. Find the curved surface area of the solid.
The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cone of height 32 cm. Find the diameter of the base of the cone.
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm, are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Find the volume of the right circular cone whose height is 12 cm and slant length is 15 cm . (π = 3.14)