Sasi Math (Revised for 1024)

Scroll:Mensuration >> volume of cone >> ps (4131)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.

29cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 24 cm respectively. Find its volume.

24cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 25 cm respectively. Find its volume.

25cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 22 cm and 26 cm respectively. Find its volume.

26cm

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 23 cm respectively. Find its volume.

23cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 35 cm respectively. Find its volume.

35cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 30 cm respectively. Find its volume.

30cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 23 cm respectively. Find its volume.

23cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 34 cm respectively. Find its volume.

34cm

21cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 12 cm and 23 cm respectively. Find its volume.

23cm

12cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.

29cm

20cm

Answer: 8800.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 20²

= √ 841-400 = √ 441

height (h) = 21.00 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 21.00

Volume of the cone = 8800.00cm³

Radius and slant height of a cone are 18 cm and 24 cm respectively. Find its volume.

24cm

18cm

Answer: 5386.73 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 18²

= √ 576-324 = √ 252

height (h) = 15.87 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 15.87

Volume of the cone = 5386.73cm³

Radius and slant height of a cone are 15 cm and 25 cm respectively. Find its volume.

25cm

15cm

Answer: 4714.29 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 15²

= √ 625-225 = √ 400

height (h) = 20.00 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 20.00

Volume of the cone = 4714.29cm³

Radius and slant height of a cone are 22 cm and 26 cm respectively. Find its volume.

26cm

22cm

Answer: 7027.68 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 22²

= √ 676-484 = √ 192

height (h) = 13.86 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 13.86

Volume of the cone = 7027.68cm³

Radius and slant height of a cone are 17 cm and 23 cm respectively. Find its volume.

23cm

17cm

Answer: 4689.78 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 17²

= √ 529-289 = √ 240

height (h) = 15.49 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 15.49

Volume of the cone = 4689.78cm³

Radius and slant height of a cone are 20 cm and 35 cm respectively. Find its volume.

35cm

20cm

Answer: 12035.05 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 20²

= √ 1225-400 = √ 825

height (h) = 28.72 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 28.72

Volume of the cone = 12035.05cm³

Radius and slant height of a cone are 21 cm and 30 cm respectively. Find its volume.

30cm

21cm

Answer: 9896.04 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 21²

= √ 900-441 = √ 459

height (h) = 21.42 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 21.42

Volume of the cone = 9896.04cm³

Radius and slant height of a cone are 21 cm and 23 cm respectively. Find its volume.

23cm

21cm

Answer: 4333.56 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 21²

= √ 529-441 = √ 88

height (h) = 9.38 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 9.38

Volume of the cone = 4333.56cm³

Radius and slant height of a cone are 21 cm and 34 cm respectively. Find its volume.

34cm

21cm

Answer: 12353.88 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 21²

= √ 1156-441 = √ 715

height (h) = 26.74 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 26.74

Volume of the cone = 12353.88cm³

10)

Radius and slant height of a cone are 12 cm and 23 cm respectively. Find its volume.

23cm

12cm

Answer: 2959.82 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 12²

= √ 529-144 = √ 385

height (h) = 19.62 cm

Volume of the cone = $\frac{1}{3}$ π r²h cubic unis.

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 19.62

Volume of the cone = 2959.82cm³