SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions

Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`

Find the volume of a sphere, if its surface area is 154 sq.cm.

Find the surface area and volume of sphere of the following radius.  (π = 3.14)

4 cm

Find the surface area and volume of sphere of the following radius.  (π = 3.14 )

 9 cm

Find the surface area and volume of sphere of the following radius.  (π = 3.14 )

3.5 cm

If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )

If the surface area of a sphere is 2826 cm² then find its volume. ( π= 3.14)

Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`

Find the volume of a sphere, if its surface area is 154 sq.cm.

In the given figure, if ∠a ≅ ∠b and ∠x ≅ ∠y then prove that line l || line n.

In the given figure, point A is on the bisector of ∠ XYZ. If AX = 2 cm then find AZ.

In the given figure, ∠RST = 56°, seg PT ⊥ ray ST, seg PR ⊥ ray SR and seg PR ≅ seg PT. Find the measure of ∠RSP. State the reason for your answer.

Prove that, if the bisector of ∠BAC of ΔABC is perpendicular to side BC, then ΔABC is an isosceles triangle.

In ΔPQR, If PQ > PR and bisectors of ∠Q and ∠R intersect at S. Show that SQ > SR.

In the figure, point D and E are on side BC of ΔABC, such that BD = CE and AD = AE. Show that ΔABD ≅ ΔACE.

In the given figure, bisector of ∠BAC intersects side BC at point D. Prove that AB > BD.

In the given figure, seg PT is the bisector of ∠QPR. A line through R intersects ray QP at point S. Prove that PS = PR.

In the given figure, seg AD ⊥ seg BC. seg AE is the bisector of ∠CAB and C - E - D. Prove that ∠DAE = `1/2` (∠C - ∠B)

`square`ABCD is a parallelogram, P and Q are midpoints of side AB and DC respectively, then prove `square`APCQ is a parallelogram.

In ΔPQR, PQ = 10 cm, QR = 12 cm, PR = 8 cm. Find out the greatest and the smallest angle of the triangle.