Question Text
Question 1 :
The cost of painting the curved surface area of a cone at $5\ ps/cm^{2}$ is $Rs 35.20$, find the volume of the cone if its slant height is $25 cm$.
Question 2 :
The height of a cone is $9 cm$ and the radius of the base is $7 cm$. The cone is melted and a cuboid is formed. The length of the base of the cuboid is $11 cm$ and breadth is $6 cm$. Find the height of the cuboid.<br>
Question 3 :
Three solid spheres of a lead are melted into a single solid sphere If the radii of the three spheres be 1 cm, 6 cm and 8 cm respectively Then radius of the new sphere is :
Question 4 :
The number of balls of radius $1$ cm that are made from a solid sphere of radius $4$ cm
Question 6 :
The base radius and height of a right circular solid cone are $12 cm$ and $24 cm$, respectively. It is melted and recast into spheres of diameter $6 cm$ each. Find the number of spheres so formed.
Question 7 :
Assertion: If the radius of a cone is halved and volume is not changed, then height remains same.
Reason: If the radius of a cone is halved and volume is not changed then height must become four times of the original height.
Question 8 :
The volume of two spheres is in the ratio $64:27$ and the sum of their radii is $7\,cm$. The difference in their total surface areas is
Question 9 :
If the radius of a sphere is doubled, the percent increase in volume is
Question 10 :
A cylindrical trunk of a tree has a girth ( circumference) of $880$ cm and a height of $2$ m. If the wood was sold at Rs. $100$ per cu ft and wastage was $20 \%$, then find the total amount received ( in Rs.).
