Volume and Surface Area Questions

• Point A divides segment BC in the ratio 5:1. Co-ordinates of B are (6 ,-4) and C are (0,8). What are the co-ordinates of point A?
• What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x =2, y = -2 and y = 3?
• AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.
• The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be_____.
• The length of the diagonal and the breadth of a rectangle are 17 cm and 8 cm respectively. Find its perimeter (in cm).
• If any two sides of a triangle are divided by the line in the same ratio, then the line must be _________________ to the third side of the triangle.
• The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm2).
• ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?
• The radius of a hemisphere is 7 cm, find its volume?
• 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 1:3 and HF is 7.2 cm, find length of DF?
• What is the circumference (in cm) of a circle whose area is 616 sq cm?
• If the diameter of a circle is 35 cm, then what will be its circumference (in cm)?
• Find the volume (in cm3) of a sphere of diameter 7 cm.
• Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.
• The area and the length of one of the diagonals of a rhombus is 54 cm2 and 9 cm respectively. Find the length of its other diagonal (in cm).
• 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 _____________.