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      Q) From a solid right circular cylinder of height 14 cm and base radius 6 cm, a right circular cone of same height and same base radius is removed. Find the volume of the remaining solid. Ans: Step 1: ∵ Volume of the cylinder = π r 2 h For cylinder, […]
February 2026
      Q) A metallic cylinder has radius 3 cm and height 5 cm. To reduce its weights, a conical hole is drilled in the cylinder. The conical hole has a radius of cm and its depth cm. Calculate the ratio of the volume of metal left in the cylinder to the
Q) In Figure, a square OABC is inscribed in a quadrant OPBQ. If OA = 15 cm, find the area of the shaded region. (Use π = 3.14). Ans: Step 1: In the figure, we have a quadrant OPBQ (quarter part of circle, with center O). Inside this quadrant, a square OABC is inscribed and
Q) A fraction becomes when 2 is subtracted from the numerator and it becomes when 1 is subtracted from the denominator- Find the fraction. Ans: Step 1: Let’s consider the fraction be Step 2: By 1st condition 1: “When 2 is subtracted from the numerator, the fraction becomes “ ∴ ∴ 3 (x – 2)
Q) Solve the following system of equations graphically: x – y + 2 = 0 and 4 x – y – 4 = 0. Calculate the area of the triangle formed by the lines so drawn and x – axis. (Q 34 – 30/1/3 – CBSE 2026 Question Paper) Part 1: Solving the linear equations: Step
Q). The sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64 m, find the sides of the two squares. (Q 35 B – 30/1/3 – CBSE 2026 Question Paper) Ans: Let’s consider that the side of a square is X m and the side of the
Q)Â A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of the slower train is 10 km/hr less than that of the faster train, find the speeds of the two trains. (Q 35 A – 30/1/3 – CBSE 2026 Question Paper) Ans:Â Step 1: Let’s
Q)Â Radio towers are used for transmitting a range of communication services. including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two sections ‘A’ and ‘B’. Tower is supported by wires from
Q)Â In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato. The other potatoes are arranged 3 m apart in a straight line, with a total of 10 potatoes, as shown in the figure: A competitor starts from the bucket, picks up the nearest potato, runs
Q)Â A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors as shown in figure. Based on the above information, answer the following questions: (i) What is the radius of circle?