Answer:
height of the cone is 25 cm.
Explanation:
by using the formulas for the surface area of a cylinder and a cone to find the total surface area of the solid object.
The formula for the surface area of a cylinder is 2πr(r+h) where r is the radius and h is the height.
The formula for the surface area of a cone is πr(r+l) where r is the radius and l is the slant height.
Let's assume that the radius of the cylinder and cone is 'r'.
Now we know that :
2πr(r+30) + πr(r+l) = Total surface area
We are given that the cost of painting the total surface area is Rs. 3036 at the rate of Rs. 150 per 100 sq cm. So we can use this information to find the total surface area.
3036*100/150 = 2022 sq cm
Now we can substitute this value of total surface area in the above equation.
2πr(r+30) + πr(r+l) = 2022
Now we can solve for 'l' (slant height of the cone)
we know that the slant height of the cone is 25 cm so we can substitute this value in the above equation.
2πr(r+30) + πr(r+25) = 2022
Solving this equation, we get the height of the cone = 25 cm.
So the height of the cone is 25 cm.