If the radius and height of a right circular cylinder are 21 cm and 5 cm, respectively, then the total surface area of the cylinder is (use π = 22 / 7):
3432 cm²
The total surface area of a cylinder is calculated by the formula 2πr(h + r). Substituting the given values, we find the total surface area to be 3432 cm² .
A secant PAB is drawn from an external point P to the circle with the centre at O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:
ΔABC is a right-angled triangle with ∠ABC = 90°. If m(AB) = 28 cm, and m(BC) = 96 cm, find the area (in cm²) of the circumcircle of ΔABC. (Use π = 3.14.)
What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take π = 22/7)
In ΔABC - ∆PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of ΔABC.
From a point A, which is at a distance of 17 cm from the centre C of a circle with radius 8 cm, the pair of tangents AB and AD to the circle are drawn. The area of the quadrilateral ABCD is _____ cm².
Two circles touch each other externally at P. AB is a direct common tangent to the two circles. If A and B are points of contact and ∠PAB = 65°, then ∠ABP is _________.
To have a surface area of 9π square units of a ball, what should be the diameter (in units) of the ball?
The area of the sector of a circle (in cm²) of radius 7 cm and central angle 60° is:
(Take π = 22/7)
If the angles of a triangle are in the ratio 7:8:3, then the value of the largest angle is:
For triangles, which of the following statement(s) are true?
(a) Sum of interior angles is 180°.
(b) All interior angles can’t be equal.
(c) Can have at the most one obtuse angle.
(d) Sum of two sides may or may not be equal to the third side.
A secant PAB is drawn from an external point P to the circle with the centre at O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:
ΔABC is a right-angled triangle with ∠ABC = 90°. If m(AB) = 28 cm, and m(BC) = 96 cm, find the area (in cm²) of the circumcircle of ΔABC. (Use π = 3.14.)
What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take π = 22/7)
In ΔABC - ∆PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of ΔABC.
From a point A, which is at a distance of 17 cm from the centre C of a circle with radius 8 cm, the pair of tangents AB and AD to the circle are drawn. The area of the quadrilateral ABCD is _____ cm².