Advertisements
Advertisements
प्रश्न
A right angled triangle of which the sides containing he right angle are 6.3 cm and lo cm in length, is made to turn round on the longer side. Find the volume of the solid, thus generated. Also, find its curved surface area.
उत्तर
Given, radius of cone (r) = 6.3cm
Height of cone (h) =10 cm
∴ WKT, Slant height l = `sqrt((6.3)^2+(10)^2)`
=` 11.819 cm [l=sqrt(r^2+h^2)]`
∴ Volume of cone = `1/3pir^2h=1/3xx3.14xx(6.3)^2xx10=4158cm^3`
And CSA of cone=`pirl`
= `22/7xx6.3xx11.819=234.01cm^2`
APPEARS IN
संबंधित प्रश्न
Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.
Find the curved surface area of a cone with base radius 5.25 cm and slant height 10cm.
Two right circular cone x and y are made x having three times the radius of y and y having half the volume of x. Calculate the ratio between the heights of x and y.
The internal and external diameter of a hollow hemispherical vessel are 21 cm and 28 cm respectively. Find :
- internal curved surface area,
- external curved surface area,
- total surface area,
- volume of material of the vessel.
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 if it is completely filled.
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 radius and height of cone are in the ratio 3 : 4. If its volume is 301.44 cm3. What is its radius? What is its slant height? (Take π = 3.14)
A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm of diameter. How much time would it take to fill a conical vessel whose diameter at he surface is 40 cm and depth is 24 cm?
