Question of Exercise 1

Surface Area and Volume of Class 9

The height of a conical tent at the centre is 5m. The distance of any point on its circular base from the top of the tent is 13m. The area of the slant surface is :


Option 1 144 pi sq m

Option 2 130 pi sq m

Option 3 156 pi sq m

Option 4 169 pi sq m

Frequently Asked Questions

Simplify the following expressions

(√(5) + √(2))2






Which of the following rational numbers lies between 0 and - 1

A: 0

B: - 1

C: -1/4

D: 1/4




0 and 1 cannot be found between 0 and 1.

In addition,0= o/4  and -1= -4/4

We can see that -1/4 is halfway between 0 and -1.

Final Answer:

Hence, the correct option is (c) -1/4


Prove that the diagonals of a parallelogram bisect each other



We must show that the diagonals of the parallelogram ABCD cross each other.

OA = OC & OB = OD, in other words.

Now AD = BC [opposite sides are equal] in ΔAOD and ΔBOC.

[alternative interior angle] ∠ADO = ∠CBO in ΔAOD and ΔBOC.

Similarly, ∠AOD = ∠BOC by ΔDAO = ΔBCO (ASA rule)

As a result, OA = OC and OB = OB [according to CPCT].

according to CPC

Final Answer:

Hence, it is prove that the diagonals of a parallelogram bisect each other.


What is total surface area of sphere



  • The radius of the sphere affects the formula for calculating the sphere's surface area. 
  • If the sphere's radius is r and the sphere's surface area is S.
  • The sphere's surface area is therefore stated as Surface Area of Sphere 4πr2, where ‘r’ is the sphere's radius.
  • The surface area of a sphere is expressed in terms of diameter as S=4π(d/2)2, where d is the sphere's diameter.

Final Answer:

Thus, total surface area of sphere is =4πr2.


Fill in the blanks If two adjacent angles are supplementary

 they form a __________.



  • If the non-common sides of two angles form a straight line, they are called linear pair angles. 
  • The sum of the angles of two linear pairs is  degrees.
  • If the total of two angles is  degrees, they are called supplementary angles.

Final Answer:

A linear pair is formed.


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