Volume and Surface Area Questions

• The area of a semicircle is 1925 cm2. Calculate its perimeter (in cm).
• If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.
• The perimeter and the length of one of the diagonals of a rhombus is 34 cm and 8 cm respectively. Find the length of its other diagonal (in cm).
• Find the perimeter (in cm) of a semicircle of radius 14 cm.
• The volume of a cube is 166.375 cm3. Find its side (in cm).
• The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is
• In ΔPQR, L and M are two points on the sides PQ and PR respectively such that LM II QR. If PL=2cm; LQ=6cm and PM=1.5 cm, then MR in cm is
• The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is
• The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:
• The orthocentre of a triangle is the point where
• ABCD is a cyclic trapezium in which AD || BC. If ∠ABC = 70°, then ∠BCD is
• G is the centroid of ΔABC. If AG = BC, then measure of ∠BGC is
• In a circle, a chord, 5√2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be
• Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is
• In ΔABC , DE || AC. Where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is
• PT is a tangent to a circle with centre O and radius 6 cm . If PT is 8 cm then length of OP is
• D, E, F are the mid - points of the sides BC , CA and AB respectively of a ΔABC . Then the ratio of the areas of ΔDEF and ΔABC is
• A circle has its centre at O . A tangent drawn from a point P , which is situated outside the circle, touches the circle at A. If PA = 4 cm & PO=5 cm, then the length of the radius of the circle is
• An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:
• Number of circles that can be drawn through three non-colinear points is