MEDIUM
10th CBSE
IMPORTANT
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If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters is (Take π=22/7)

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Important Questions on Surface Areas and Volumes

MEDIUM
10th CBSE
IMPORTANT
If a cone is cut into two parts by a horizontal plane passing through the mid-point of its axis, the ratio of the volumes of the upper part and the cone is
MEDIUM
10th CBSE
IMPORTANT
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 127 of the volume of the given cone, then the height above the base at which the section has been made is
MEDIUM
10th CBSE
IMPORTANT
A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the cylinder is
EASY
10th CBSE
IMPORTANT

A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m across at the bottom. If it is 6 m deep, then its capacity is (Take π=22/7)

MEDIUM
10th CBSE
IMPORTANT
Water flows at the rate of 10 meter per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?
MEDIUM
10th CBSE
IMPORTANT
A cylindrical vessel 32 cm high and 18 cm as the radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, the radius of its base is
MEDIUM
10th CBSE
IMPORTANT
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is
MEDIUM
10th CBSE
IMPORTANT
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is