MEDIUM
10th West Bengal Board
IMPORTANT
Earn 100

The height of a right circular cone is and the radius of the base is . The upper part is cut off by a plane through the midpoint of the axis and parallel to the base. Find the volume of the lower truncated cone.

Important Questions on Miscellaneous Exercise : Mensuration
MEDIUM
10th West Bengal Board
IMPORTANT
The radius of two ends of a bucket are and and height is . Find the volume of the bucket.

HARD
10th West Bengal Board
IMPORTANT
The height of a cone is trisected by two planes drawn parallel to the base of the cone. Show that the ratio of the columns of three parts is .

HARD
10th West Bengal Board
IMPORTANT
In a right-angled triangle, the length of the sides containing the right angle are and . If the triangle is rotated about its hypotenuse, then two cones will be formed on the opposite side of the same base. Find their total volume.

HARD
10th West Bengal Board
IMPORTANT
The height of each of the three right circular cylinders is and diameter . If the three-cylinder touch each other, then find the volume enclosed by them.

HARD
10th West Bengal Board
IMPORTANT
In a right-angled triangle, the length of the sides containing the right angle are and . Find the volume of the cone formed by rotating the triangle considering the greater side as its axis.
