Volume and Surface Area Questions

• Find the volume (in cm3) of a cube of side 7.5 cm.
• If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.
• A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?
• What is the total surface area (in sq cm) of a hollow cylinder open at both ends, if its length is 22 cm, external radius is 7 cm and thickness is 1 cm? (Take π = 22/7)
• Three angles of a quadrilateral are 60°,90°and 100°. Then the fourth angle of the quadrilateral is
• In ∆ABC two medians BE and CF intersects at the point O and P,Q are the midpoints of BO and CO respectively. If the length of PQ=3cm, then the length of FE will be
• In a triangle PQR, S and T are the points on PQ and PR respectively, such that ST II QR and PS/SQ=3/5,PR =6cm, then PT is
• An angle is greater than its complementary by 20°. What will be the measure of the angle?
• The radius of a hemisphere is 21 cm, what is its volume? (Take π = 22/7)
• In a triangle the length of the side opposite the right angle is 6 cm, what is the length of the side opposite to the angle which measures 30°?
• In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BDC is
• If PQ and PR be the two tangents to a circle with centre O such that ∠QPR = 120° then ∠POQ is
• In Δ ABC , if ∠BAC = 90° and AB = AC , then ∠ABC is
• Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is
• The diagonals do not form at least two congruent triangles in a _____.
• Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?
• 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 3:2 and HF is 8 cm, then the length of DF is
• The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)
• Δ DEF and Δ GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF?
• In a cyclic quadrilateral ABCD ∠BCD=120° and passes through the centre of the circle. Then ∠ABD = ?