Volume and Surface Area Questions

• Consider the following statements: 1) The number of circles that can be drawn through three non-collinear points is infinity. 2) Angle formed in minor segment of a circle is acute. Which of the above statements is/are correct?
• Consider the following inequalities in respect of any triangle ABC: 1) AC –AB < BC 2) BC –AC < AB 3) AB –BC < AC Which of the above are correct?
• ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?
• PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?
• The diagonal of a square is 10 cm. What is the length (in cm) of its side?
• Point A divides segment BC in the ratio 5:1. Co-ordinates of B are (6 ,-4) and C are (0,8). What are the co-ordinates of point A?
• What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x =2, y = -2 and y = 3?
• AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.
• The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be_____.
• The length of the diagonal and the breadth of a rectangle are 17 cm and 8 cm respectively. Find its perimeter (in cm).
• If any two sides of a triangle are divided by the line in the same ratio, then the line must be _________________ to the third side of the triangle.
• The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm2).
• ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?
• The radius of a hemisphere is 7 cm, find its volume?
• In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?
• What is the circumference (in cm) of a circle whose area is 616 sq cm?
• If the diameter of a circle is 35 cm, then what will be its circumference (in cm)?
• Find the volume (in cm3) of a sphere of diameter 7 cm.
• Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.
• The area and the length of one of the diagonals of a rhombus is 54 cm2 and 9 cm respectively. Find the length of its other diagonal (in cm).