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Volume and Surface Area Maths - Volume and Surface Area

Gujarat Board (GSEB) - STD 9 - Maths (GSEB - English Medium). 189 questions in this chapter.

Question types

Volume and Surface Area question types

189 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

189
Questions
5
Question groups
5
Question types
Sample Questions

Volume and Surface Area questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 2M.C.Q1 Mark
The volume of a right circular cone of height 24cm is 1232cm3. Its curved surface area is:
  1. 1254cm2
  2. 704cm2
  3. 550cm2
  4. 462cm2
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Q 3M.C.Q1 Mark
A beam 9m long, 40cm wide and 20cm high is made up of iron which weighs 50kg per cubic metre. The weight of the beam is:
  1. 27kg
  2. 48kg
  3. 36kg
  4. 56kg
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Q 4M.C.Q1 Mark
The length, breadth and height of a cuboid are 15cm, 12cm and 4.5cm respectively. Its volume is:
  1. 243cm3
  2. 405cm3
  3. 810cm3
  4. 603cm3
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Q 5M.C.Q1 Mark
The diameter of the base of a cylinder is 6cm and its height is 14cm. The volume of the cylinder is:
  1. 198cm3
  2. 396cm3
  3. 495cm3
  4. 297cm3
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Q 62 Marks Questions2 Marks
The pillars of a temple are cylindrically shaped. Each pillar has a circular base of radius 20cm and height 10m. How much concreate mixture would be required to build 14 such pillars?
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Q 72 Marks Questions2 Marks
The outer diameter of a spherical shell is 12cm and its inner diameter is 8cm. Find the volume of metal contained in the shell. Also, find its outer surface area. $\big(\text{Take}\ \pi=\frac{22}{7}\big).$
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Q 133 Marks Question3 Marks
How many litres of water flows out of a pipe having an area of cross section of 5cm2 in 1 minute, if the speed of water in the pipe is 30cm/sec?
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Q 143 Marks Question3 Marks
A spherical ball of radius 3cm is melted and recast into three spherical balls. The radii of two of these balls are 1.5cm and 2cm. Find the radius of the third ball.
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Q 153 Marks Question3 Marks
The lateral surface area of a cylinder is 94.2cm2 and its height is 5cm $\big(\text{Take}\ \pi=3.14\big)$. Find:
  1. The radius of its base.
  2. Its volume.
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Q 164 Marks Questions4 Marks
Find the capacity of a closed rectangular cistern whose length is 8m, breadth 6m and depth 2.5m. Also, find the area of the iron sheet required to make the cistern.
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Q 174 Marks Questions4 Marks
Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are:
Length = 24m, breadth = 25cm and height = 6m
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Q 184 Marks Questions4 Marks
It is required to make a closed cylindrical tank of height 1m and base diameter 140cm from a metal sheet. How many square metres of the sheet are required for the same?
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Q 194 Marks Questions4 Marks
A cylindrical water tank of diameter 1.4m and height 2.1m is being fed by a pipe of diameter 3.5cm through which water flows at the rate of 2m per second. In how much time will the tank be filled?
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Q 204 Marks Questions4 Marks
A man uses a piece of canvas having an area of 551m2, to make a conical tent of base radius 7m. Assuming that all the stitching margins and wastage incurred while cutting, amount to approximately 1m2, find the volume of the tent that can be made with it. $\Big(\text{Use}\ \pi=\frac{22}{7}\Big).$
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Q 215 Marks Questions5 Marks
If 1cm3 of case iron weighs 21g, find the weight of a cast iron pipe of length 1m with a bore of 3cm in which the thickness of the metal is 1cm.
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Q 235 Marks Questions5 Marks
A heap of wheat is in the form of a cone of diameter 9m and height 3.5m. Find its volume. How much canvas cloth is required to just cover the heap? $\big(\text{Use}\ \pi = 3.14\big).$
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Q 245 Marks Questions5 Marks
A cloth having an area of 165m2 is shaped into the form of a conical tent of radius 5m. $\Big(\text{Use}\ \pi=\frac{22}{7}\Big).$
  1. How many students can sit in the tent if a student, on an average, occupies $\frac{5}{7}\text{m}^2$ on the ground?
  2. Find the volume of the cone.
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Q 255 Marks Questions5 Marks
A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8 : 5, show that the radius and height of each has the ratio 3 : 4.
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