HOTs Surface Area and Volume 10 Mathematics

Please refer to Surface Area and Volume HOTs Class 10 Mathematics provided below with Surface Area and Volume. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.

Surface Area and Volume Class 10 Mathematics HOTs

Questions of 1 Mark

Question. A wooden solid sphere of radius r cm is divided into two equal parts. What is the whole surface area of the two parts?

Question. What is the surface area of a cube whose volume is 64 cm³?

Question. Two cubes each of volume 64 cm3 are joined face to face. What is the surface area of the resulting cuboid ?

Question. If the curved surface area of a right circular cylinder is 1760 cm2 and its radius is 21 cm, then what is its height?

Question. The diameter of a metallic sphere is 6 cm. It is melted and drawn into a wire having diameter of the cross-section as 0.2 cm. Find the length of the wire?

Question. How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm ?

Question. A rectangular piece of paper of dimensions 60 cm X 88 cm is rolled to form a hollow circular cylinder of height 60 cm. What is the radius of the cylinder?

Question. What is the height of a cone whose base area and volume are numerically equal?

Question. Two right circular cones X & Y are made, X having three times the radius of Y and Y having half the volume of X. Calculate the rates of X & Y?

Question. In the adjoining figure, the bottom of the glass has a hemispherical raised portion. The glass is fitted with orange juice. How much juice a person will get?

Questions of 2 Mark

Question. A square field and an equilateral triangular park have equal perimeters. If the cost of ploughing the field at the rate of Rs. 5 per m2 is Rs. 720, find the cost of maintaining the park at the rate of Rs. 10 per m².

Question. The curved surface area of a cone is 550 cm². Find the volume of the cone given that its base diameter is 14 cm.

Question. A rectangular water tank of base 11 cm X 6 cm contain water up to height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of water level to be raised in this tank?

Question. An iron solid sphere of radius 3 cm is melted and recast into small spherical balls of radius 1 cm each. Assuming that there is no wastage in the process, find the number of small spherical balls made from the given sphere?

Question. Circumference of the edge of hemispherical bowl is 132 cm. Find the capacity of the bowl.( = 22/7)

Question. The base radii of two circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.

Question. Find the volume of the largest right circular cone that can be cut out of a cube whose radius is 9 cm.

Question. In the given figure, a cone of radius 10 cm is divided into two parts by drawing a plane through the mid-points of its axis, parallel to its base. Compare the volume of the two parts?

Question. the radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cylinder of height 10 (2/3)cm. Find the diameter of the base of the cylinder

Question. 50 circular plates, each of radius 10.5 cm and thickness 1.6 cm, are placed one above the other to form a solid circular cylinder. Find the curved surface are and volume of the cylinder so formed?