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

In the given figure, point G is the point of concurrence of the medians of Δ  PQR. If GT = 2.5, find the lengths of PG and PT.

In the given figure, if seg PR ≅ seg PQ, show that seg PS > seg PQ. 

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)

In the given figure, point S is any point on side QR of ΔPQR Prove that: PQ + QR + RP > 2PS

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.