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 17 cm and 26 cm respectively. Find its volume.

26cm

17cm

cm³

Answer:_______________

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 13 cm and 22 cm respectively. Find its volume.

22cm

13cm

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 12 cm and 26 cm respectively. Find its volume.

26cm

12cm

cm³

Answer:_______________

Radius and slant height of a cone are 14 cm and 28 cm respectively. Find its volume.

28cm

14cm

cm³

Answer:_______________

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

34cm

21cm

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 22 cm and 35 cm respectively. Find its volume.

35cm

22cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 11 cm and 30 cm respectively. Find its volume.

30cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 26 cm respectively. Find its volume.

26cm

17cm

Answer: 5955.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 17²

= √ 676-289 = √ 387

height (h) = 19.67 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 19.67

Volume of the cone = 5955.33cm³

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 13 cm and 22 cm respectively. Find its volume.

22cm

13cm

Answer: 3142.60 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 13²

= √ 484-169 = √ 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 13 x 13 x 17.75

Volume of the cone = 3142.60cm³

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 12 cm and 26 cm respectively. Find its volume.

26cm

12cm

Answer: 3480.27 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 12²

= √ 676-144 = √ 532

height (h) = 23.07 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 23.07

Volume of the cone = 3480.27cm³

Radius and slant height of a cone are 14 cm and 28 cm respectively. Find its volume.

28cm

14cm

Answer: 4979.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 14²

= √ 784-196 = √ 588

height (h) = 24.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 24.25

Volume of the cone = 4979.33cm³

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

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 22 cm and 35 cm respectively. Find its volume.

35cm

22cm

Answer: 13801.84 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 22²

= √ 1225-484 = √ 741

height (h) = 27.22 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 27.22

Volume of the cone = 13801.84cm³

10)

Radius and slant height of a cone are 11 cm and 30 cm respectively. Find its volume.

30cm

11cm

Answer: 3537.92 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 11²

= √ 900-121 = √ 779

height (h) = 27.91 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 27.91

Volume of the cone = 3537.92cm³