Volume and Surface Area Questions Practice Question and Answer

Q:

A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m2

1467 0

  • 1
    ₹ 2600
    Correct
    Wrong
  • 2
    ₹ 2680
    Correct
    Wrong
  • 3
    ₹ 2580
    Correct
    Wrong
  • 4
    ₹ 2500
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "₹ 2600 "

Q:

From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.

1463 0

  • 1
    $$ {1\over3}π{r^{2}}h$$
    Correct
    Wrong
  • 2
    $$ {1\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 3
    $$ {7\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 4
    $$ {1\over8}π{r^{2}}h$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$ {7\over24}π{r^{2}}h$$"

Q:

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path?

1461 0

  • 1
    1020 π
    Correct
    Wrong
  • 2
    1075 π
    Correct
    Wrong
  • 3
    1050 π
    Correct
    Wrong
  • 4
    1100 π
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "1075 π"

Q:

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

1456 0

  • 1
    $$ { 24 π cm^2}$$
    Correct
    Wrong
  • 2
    $$ { 25 π cm^2}$$
    Correct
    Wrong
  • 3
    $$ { 28 π cm^2}$$
    Correct
    Wrong
  • 4
    $$ { 20 π cm^2}$$
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ { 24 π cm^2}$$"

Q:

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is 

1454 0

  • 1
    1.4 cm
    Correct
    Wrong
  • 2
    1.8 cm
    Correct
    Wrong
  • 3
    2.1 cm
    Correct
    Wrong
  • 4
    2.5 cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "2.5 cm"

Q:

The area  of a circle is 616 sq cm, find its circumference?

1448 0

  • 1
    44 cm
    Correct
    Wrong
  • 2
    88 cm
    Correct
    Wrong
  • 3
    22 cm
    Correct
    Wrong
  • 4
    176 cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "88 cm"

Q:

If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?

1444 0

  • 1
    17.5 cm
    Correct
    Wrong
  • 2
    10.5 cm
    Correct
    Wrong
  • 3
    14 cm
    Correct
    Wrong
  • 4
    7 cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "7 cm"

Q:

The curved surface area of cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

1440 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "7 : 3"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully