MEDIUM
10th CBSE
IMPORTANT
Earn 100

From a solid cylinder of height 15 cm and diameter 16 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid. (Use π=3.14 )

Important Questions on Surface Areas and Volumes

HARD
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 4
A toy is in the form of a cone mounted on a hemisphere of same radius 7 cm. If the total height of the toy is 31 cm, find its total surface area.
HARD
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 5
The entire surface of a solid cone of base radius 3 cm and height 4 cm is equal to the entire surface of a solid right circular cylinder of diameter 4 cm. Find the ratio of their curved surfaces.
HARD
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 5
The entire surface of a solid cone of base radius 3 cm and height 4 cm is equal to the entire surface of a solid right circular cylinder of diameter 4 cm. Find the ratio of their volumes.
MEDIUM
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 6
A medicine capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of the entire capsule is 2 cm. Find the capacity of the capsule.
MEDIUM
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 7
How many lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 cm, 42 cm and 21 cm.
MEDIUM
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 8
Find the least number of coins of diameter 2.5 cm and height 3 mm which are to be melted to form a solid cylinder of radius 3 cm and height 5 cm.
MEDIUM
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 9
A cylindrical pipe has inner diameter 7 cm and water flows through it at 192.5 litres per minutes. Find the rate of flow of water in kilometres per hours.
MEDIUM
10th CBSE
IMPORTANT
CBSE Syllabus Standard Mathematics for Class X>Chapter 14 - Surface Areas and Volumes>Chapter Test>Q 10
The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into a cone of height 28 cm. Find the diameter of the base of the cone so formed.