Volume and Surface Area Questions

• Find the total surface area (in cm2 ) of a hemisphere of diameter 42 cm.
• In ∆XYZ measure of angle Y is 90 deg. If sinX = 4/5, and XY = 6cm, then what is the length (in cm) of side YZ?
• In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?
• At what point does the line 2x - 3y = 6 cuts the Y axis?
• The triangle in which the orthocenter, circumcentre, Incenter and the centroid coincide each other at a point is known as _____________.
• 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 _____.