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 16 cm and 32 cm respectively. Find its volume.

32cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 22 cm respectively. Find its volume.

22cm

12cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 34 cm respectively. Find its volume.

34cm

12cm

cm³

Answer:_______________

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

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 24 cm respectively. Find its volume.

24cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 27 cm respectively. Find its volume.

27cm

13cm

cm³

Answer:_______________

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 12 cm and 32 cm respectively. Find its volume.

32cm

12cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 31 cm respectively. Find its volume.

31cm

16cm

cm³

Answer:_______________

10)

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 16 cm and 32 cm respectively. Find its volume.

32cm

16cm

Answer: 7431.56 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 16²

= √ 1024-256 = √ 768

height (h) = 27.71 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 27.71

Volume of the cone = 7431.56cm³

Radius and slant height of a cone are 12 cm and 22 cm respectively. Find its volume.

22cm

12cm

Answer: 2781.81 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 12²

= √ 484-144 = √ 340

height (h) = 18.44 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 18.44

Volume of the cone = 2781.81cm³

Radius and slant height of a cone are 12 cm and 34 cm respectively. Find its volume.

34cm

12cm

Answer: 4798.77 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 12²

= √ 1156-144 = √ 1012

height (h) = 31.81 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 31.81

Volume of the cone = 4798.77cm³

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

22cm

Answer: 0.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 22²

= √ 484-484 = √ 0

height (h) = 0.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 0.00

Volume of the cone = 0.00cm³

Radius and slant height of a cone are 20 cm and 24 cm respectively. Find its volume.

24cm

20cm

Answer: 5560.76 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 20²

= √ 576-400 = √ 176

height (h) = 13.27 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 13.27

Volume of the cone = 5560.76cm³

Radius and slant height of a cone are 13 cm and 27 cm respectively. Find its volume.

27cm

13cm

Answer: 4188.95 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 13²

= √ 729-169 = √ 560

height (h) = 23.66 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 23.66

Volume of the cone = 4188.95cm³

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 12 cm and 32 cm respectively. Find its volume.

32cm

12cm

Answer: 4474.42 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 12²

= √ 1024-144 = √ 880

height (h) = 29.66 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 29.66

Volume of the cone = 4474.42cm³

Radius and slant height of a cone are 16 cm and 31 cm respectively. Find its volume.

31cm

16cm

Answer: 7120.46 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 31 cm

Height (h) = √ l²-r² = √ 31²- 16²

= √ 961-256 = √ 705

height (h) = 26.55 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 26.55

Volume of the cone = 7120.46cm³

10)

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