      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
Solve the following system of equations graphically: 2x + y = 6 Read More »
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?