HARD
10th CBSE
IMPORTANT
Earn 100

A wide cloth is used to make a conical tent of base diameter and height . If the cost of cloth used, at the rate of per metre is , then write the value of .

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Important Questions on Volume and Surface Areas of Solids
HARD
10th CBSE
IMPORTANT
A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is , its base is of radius and the volume of wood in the toy is , then find the value of . (Correct up to two decimal places)

EASY
10th CBSE
IMPORTANT
Three cubes of a metal whose edges are in the ratio are melted and converted into a single cube whose diagonal is .
Find the sum of edges of the three cubes (in cm).

EASY
10th CBSE
IMPORTANT
A hollow sphere of external and internal diameters and respectively is melted into a solid cone of base diameter . Find the height of the cone.

MEDIUM
10th CBSE
IMPORTANT
A bucket of height is in the form of frustum of a cone whose circular ends are of diameter and . Find the cost of milk at the rate of per litre, which the bucket can hold.

MEDIUM
10th CBSE
IMPORTANT
The interior of a building is in the form of a right circular cylinder of diameter and height surmounted by a cone of same diameter. The height of the cone is . If the outer surface area of the building is , then find the value of .

HARD
10th CBSE
IMPORTANT
A metallic solid right circular cone is of height and the radius of its base is . It is melted and recast into a solid sphere. Find the diameter of the sphere.

HARD
10th CBSE
IMPORTANT
A toy is in the form of a cone of radius mounted on a hemisphere of same radius. The total height of the toy is . If the total surface area of the toy is , then find the value of .

HARD
10th CBSE
IMPORTANT
If the radii of the circular ends of a bucket high, are and , then find the sum of the numeral values of its capacity and total surface area.
