Volume and Surface Area Questions

• The surface area of a sphere is 5544 sq.cm. Find its diameter (in cm).
• The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is 15√3 sq cm, what is the area of the equilateral triangle?
• If the curved surface area of a right circular cone is 3080 sq cm and its slant height is 35 cm, find its total surface area?
• The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 49π sq cm?
• Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, find the height of the cylinder?
• If 4r = h + r2+h2 then r: h = ? (r not equal to 0)
• In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?
• How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take π = 22/7)
• In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°?
• If a cone of radius 3.5 cm and height 9.6 cm is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder? (Take π = 22/7)
• Find length of the arc whose central angle is 90° and radius of the circle is 3.5 cm?
• In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?
• A solid has 12 vertices and 30 edges. How many faces does it have?
• Curved surface area of a cylinder is 1232 sq cm. If circumference of its base is 154 cm, then what will be the height of the cylinder? (Take π = 22/7)
• What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 120 sq.cm and 8 cm respectively ?
• Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?
• ΔABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ΔABC : the area of the trapezium ADEC is
• In an isosceles triangle ABC, AB = AC, XY || BC. If ∡A = 30, then ∡BXY =
• What is the reflection of the point (5 , -1) in the line y = 2?
• Δ ABC is right angled at B. If m∠A = 30°. What is the length (in cm) of AB, if AC = 8 cm?