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 12 cm and 24 cm respectively. Find its volume.

24cm

12cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 31 cm respectively. Find its volume.

31cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume.

26cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 25 cm respectively. Find its volume.

25cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 35 cm respectively. Find its volume.

35cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 29 cm respectively. Find its volume.

29cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 14 cm and 35 cm respectively. Find its volume.

35cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 22 cm and 24 cm respectively. Find its volume.

24cm

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 34 cm respectively. Find its volume.

34cm

19cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 13 cm and 28 cm respectively. Find its volume.

28cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 24 cm respectively. Find its volume.

24cm

12cm

Answer: 3134.81 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 12²

= √ 576-144 = √ 432

height (h) = 20.78 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 20.78

Volume of the cone = 3134.81cm³

Radius and slant height of a cone are 11 cm and 31 cm respectively. Find its volume.

31cm

11cm

Answer: 3673.56 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 31 cm

Height (h) = √ l²-r² = √ 31²- 11²

= √ 961-121 = √ 840

height (h) = 28.98 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 28.98

Volume of the cone = 3673.56cm³

Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume.

26cm

19cm

Answer: 6712.88 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 19²

= √ 676-361 = √ 315

height (h) = 17.75 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 17.75

Volume of the cone = 6712.88cm³

Radius and slant height of a cone are 20 cm and 25 cm respectively. Find its volume.

25cm

20cm

Answer: 6285.71 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 20²

= √ 625-400 = √ 225

height (h) = 15.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 15.00

Volume of the cone = 6285.71cm³

Radius and slant height of a cone are 21 cm and 35 cm respectively. Find its volume.

35cm

21cm

Answer: 12936.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 21²

= √ 1225-441 = √ 784

height (h) = 28.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 28.00

Volume of the cone = 12936.00cm³

Radius and slant height of a cone are 15 cm and 29 cm respectively. Find its volume.

29cm

15cm

Answer: 5850.43 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 15²

= √ 841-225 = √ 616

height (h) = 24.82 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 24.82

Volume of the cone = 5850.43cm³

Radius and slant height of a cone are 14 cm and 35 cm respectively. Find its volume.

35cm

14cm

Answer: 6587.09 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 14²

= √ 1225-196 = √ 1029

height (h) = 32.08 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 32.08

Volume of the cone = 6587.09cm³

Radius and slant height of a cone are 22 cm and 24 cm respectively. Find its volume.

24cm

22cm

Answer: 4862.59 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 22²

= √ 576-484 = √ 92

height (h) = 9.59 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 9.59

Volume of the cone = 4862.59cm³

Radius and slant height of a cone are 19 cm and 34 cm respectively. Find its volume.

34cm

19cm

Answer: 10664.97 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 19²

= √ 1156-361 = √ 795

height (h) = 28.20 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 28.20

Volume of the cone = 10664.97cm³

10)

Radius and slant height of a cone are 13 cm and 28 cm respectively. Find its volume.

28cm

13cm

Answer: 4390.78 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 13²

= √ 784-169 = √ 615

height (h) = 24.80 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 24.80

Volume of the cone = 4390.78cm³