Volume and Surface Area Questions

Circum center of ΔABC is O. If ∡BAC = 75 and ∡BCA = 80 degrees,

then what is the value of ∡OAC(in deg)?

In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4:3, the length of the sides are

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 the given figure, AP = 3cm, AR = 6cm and RS = 9cm, then what is the value (in cm) of PQ?

A right circular cylinder is formed. A = sum of total surface area and the area of the two bases. B = the curved surface area of this cylinder. If A : B = 3 : 2 and the volume of cylinder is 4312 cm3, then what is the sum of area (in cm2) of the two bases of this cylinder?

Considering two opposite vertices of a square of side ‘a’ as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?

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

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?