Start learning →

Indian Navy Pilot Surface Areas and Volumes — practice questions

Explore 4 free Surface Areas and Volumes questions in Indian Navy Pilot Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Surface Areas and Volumes with Quill →

Surface Areas and Volumes questions and exercises with answers

Showing questions 1–4 of 4.

The cartesian equation of a line through $(x_1,y_1,z_1)$ with direction ratios $a,b,c$ is:Read the answer and worked solution →The slant height of a cone of radius 6 cm and height 8 cm isRead the answer and worked solution →How many balls of radius 1 cm can be made from a solid sphere of radius 10 cmRead the answer and worked solution →A bucket in the shape of a frustum has radii 22 cm and 12 cm and height 24 cm. The slant height isRead the answer and worked solution →

Worked practice questions

The cartesian equation of a line through $(x_1,y_1,z_1)$ with direction ratios $a,b,c$ is:

  1. $\tfrac{x-x_1}{a}+\tfrac{y-y_1}{b}+\tfrac{z-z_1}{c}=1$
  2. $\tfrac{a}{x-x_1}=\tfrac{b}{y-y_1}=\tfrac{c}{z-z_1}$
  3. $\tfrac{x-x_1}{a}=\tfrac{y-y_1}{b}=\tfrac{z-z_1}{c}$
  4. $ax+by+cz=0$
Show answer and solution

Correct answer: C. $\tfrac{x-x_1}{a}=\tfrac{y-y_1}{b}=\tfrac{z-z_1}{c}$

The symmetric (cartesian) form of a line is (x−x₁)/a = (y−y₁)/b = (z−z₁)/c.

Open this question →

The slant height of a cone of radius 6 cm and height 8 cm is

  1. 14 cm
  2. 10 cm
  3. 12 cm
  4. 7 cm
Show answer and solution

Correct answer: B. 10 cm

1. Slant height l satisfies l squared = r squared + h squared. 2. l squared = 36 + 64 = 100. 3. l = 10 cm. _Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.2_

Open this question →

How many balls of radius 1 cm can be made from a solid sphere of radius 10 cm

  1. 10000
  2. 100
  3. 500
  4. 1000
Show answer and solution

Correct answer: D. 1000

1. Big volume / small volume = (4/3 pi 1000) / (4/3 pi 1). 2. = 1000/1. 3. = 1000. _Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_

Open this question →

How to practise

  1. Choose a Surface Areas and Volumes question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

SequencesBinomial TheoremSequences and SeriesGeometryProbability & StatisticsVectors & 3D GeometryPermutations and CombinationsLinear Programming