HARD
10th CBSE
IMPORTANT
Earn 100

A bucket in the form of a frustum of a cone of height with radii of its lower and upper ends as and , respectively. Find the capacity of the bucket. Also find the cost of milk which can completely fill the bucket at the rate of per litre.
Important Questions on Surface Areas and Volumes
MEDIUM
10th CBSE
IMPORTANT
A bucket is in the form of frustum of a cone with capacity of . The radii of the top and bottom circular ends of the bucket are respectively. Find the height of the bucket and also the area of the metal sheet used in making it. (Use )

HARD
10th CBSE
IMPORTANT
The height of a cone is . A small cone is cut off at the top by a plane parallel to its base. If its volume be of the volume of the given cone, at what height above the base is the section cut?

HARD
10th CBSE
IMPORTANT
A cone of radius and height is divided into two parts by a plane through the mid-point of its axis parallel to its base. Find the ratio of the volumes of two parts.

MEDIUM
10th CBSE
IMPORTANT
The internal radii of the ends of a bucket, full of milk and of internal height . If this milk is poured into a hemispherical vessel, find the internal diameter of the hemispherical vessel.

EASY
10th CBSE
IMPORTANT
If and are the radius, height and slant height respectively of a cone , then its total surface area is _____

EASY
10th CBSE
IMPORTANT
The volume of a sphere of diameter is

EASY
10th CBSE
IMPORTANT
Total surface area of a hemisphere of radius is

EASY
10th CBSE
IMPORTANT
If a right circular cone and a cylinder have equal circles as their base and have equal heights, then the ratio of their volumes is _____
