Volume and Surface Area Questions

• Radius of cross section of a solid right circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is (Take Π = 22/7)
• If the volumes of two right circular cones are in the ratio 1:4 and their diameters of bases in the ratio 4:5, then their heights will be in the ratio:
• Which of the following is a true statement?
• In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be
• If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is
• What is the slope of the line 2x + 3y = 12?
• What is the diameter (in cm) of a sphere of surface area 6.16 sq cm?
• What is the equation of the line perpendicular to the line 2x + 3y= -6 and having Y-intercept 3?
• What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?
• D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?
• What is the value of Cot 60°- Cos 45°?
• What is the reflection of the point (1 , 2) in the line y = 3?
• Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?
• What is the reflection of the point (-2, 5) in the line x = -1?
• What is the reflection of the point (-1 , 3) in the line x = -4?
• The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?
• Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?
• The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?
• PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees)of POR?
• Slope of the line AB is 4/3. Co-ordinates of points A and B are (x , -5) and (2 , -3) respectively. What is the value of x?