Volume and Surface Area Questions

• Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is
• PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is
• The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by
• Which of the following is not true for a rhombus?
• The ratio between the vertical angle and a base angle of an isosceles triangle is 4:3. The value of any one base angle is
• In ΔABC, ∠B=90 deg and BC= √3 AB. Find the measurement of ∠A
• The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cub.cm more. Assuming Π = 22/7, the height of the cylinder is
• Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?
• Possible length of the three sides of a triangle are :
• AD is the Median of Δ ABC. If O is the centroid and AO = 10 cm then OD is
• Incentre of Δ ABC is I. ∠ABC = 90° and ∠ACB = 70°. ∠AIC is
• The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be
• Possible measures of three angles of a triangle are
• A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is
• In a triangle ABC, if ∡A +∡C = 140° and ∡A + 3∡B = 180° , then ∡A is equal to
• If PA and PB are two tangents to a circle with centre O such that ∡ APB = 80°. Then ∡ AOP =
• Which of the set of three sides can't form a triangle?
• A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is
• An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its centre is
• Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be