Test Details

Surface Areas and Volumes

Jan 22, 3:00 PM

60 minutes

Jan 22, 4:00 PM

50.0 marks

MCQ

25 questions

Shivam Sir

Shivam Sir has a B.tech and B.ed(honors) in Electrical Engineering from Rajiv Gandhi Prodhoyogiki Vishwavidyalaya,and more than 6 years of teaching experience in the mathematics in several institute. Over the course of his career, several students taught by him were able to score good mark in maths

Class Details

Mathematics

Class 9th

Mathematics

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Question Text

Question 1 :
Curved surface area of a cone is 308 $cm^2$ and its slant height is 14 cm. Find radius of the base.

Question 2 :
A shopkeeper has one spherical laddoo of radius 5cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made?

Question 3 :
Find the surface area of a sphere of radius 5.6 cm.

Question 4 :
In a cylinder, radius is doubled and height is halved, curved surface area will be _________?

Question 5 :
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?

Question 6 :
A cloth having an area of 165 $m^2$ is shaped into the form of a conical tent of radius 5 m. Find the volume of the cone.

Question 7 :
The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. Find the ratio of their volumes.

Question 8 :
Curved surface area of a cone is 308 $cm^2$ and its slant height is 14 cm. Find the total surface area of the cone.

Question 9 :
State true or false: If the length of the diagonal of a cube is $6\sqrt3$ cm, then the length of the edge of the cube is 3 cm.

Question 10 :
Find the volume of a sphere whose surface area is 154 $cm^2$ .

Question 11 :
State true or false: In a right circular cone, height, radius and slant height do not always be sides of a right triangle.

Question 12 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Diagonal of cuboid = $6\sqrt{l^{2}+b^{2}+h^{2}}$.

Question 13 :
State true or false: The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.

Question 14 :
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.

Question 15 :
State true or false: If the edge of the cube is a, then volume of cube = $a^{3}$

Question 16 :
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the wood .

Question 17 :
A cloth having an area of 165 $m^2$ is shaped into the form of a conical tent of radius 5 m. How many students can sit in the tent if a student, on an average, occupies $\frac{5}{7} m^2$ on the ground?

Question 18 :
Figures that can be drawn easily on our notebooks or cardboards are called ________

Question 19 :
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the volume of the cone (taking $\pi=\frac{22}{7}$).

Question 20 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the cost of sheet for it , if a sheet measuring 1 $m^2$ costs Rs 20.

Question 21 :
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 $m^3$ = 1000 $l$)

Question 22 :
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs 10 per $m^2$ is Rs 15000, find the height of the hall. [Hint : Area of the four walls = Lateral surface area.]

Question 23 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Volume of cuboid = lbh

Question 24 :
A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.

Question 25 :
The lateral surface area of a cube is 256 $m^2$. Find the volume of the cube.

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