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 18 cm and 31 cm respectively. Find its volume.

31cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 25 cm respectively. Find its volume.

25cm

13cm

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 21 cm and 25 cm respectively. Find its volume.

25cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 27 cm respectively. Find its volume.

27cm

21cm

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 15 cm and 24 cm respectively. Find its volume.

24cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 28 cm respectively. Find its volume.

28cm

18cm

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 20 cm and 30 cm respectively. Find its volume.

30cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 31 cm respectively. Find its volume.

31cm

18cm

Answer: 8567.18 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 31 cm

Height (h) = √ l²-r² = √ 31²- 18²

= √ 961-324 = √ 637

height (h) = 25.24 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 25.24

Volume of the cone = 8567.18cm³

Radius and slant height of a cone are 13 cm and 25 cm respectively. Find its volume.

25cm

13cm

Answer: 3779.97 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 13²

= √ 625-169 = √ 456

height (h) = 21.35 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 21.35

Volume of the cone = 3779.97cm³

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 21 cm and 25 cm respectively. Find its volume.

25cm

21cm

Answer: 6264.72 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 21²

= √ 625-441 = √ 184

height (h) = 13.56 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 13.56

Volume of the cone = 6264.72cm³

Radius and slant height of a cone are 21 cm and 27 cm respectively. Find its volume.

27cm

21cm

Answer: 7840.14 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 21²

= √ 729-441 = √ 288

height (h) = 16.97 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 16.97

Volume of the cone = 7840.14cm³

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 15 cm and 24 cm respectively. Find its volume.

24cm

15cm

Answer: 4414.93 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 15²

= √ 576-225 = √ 351

height (h) = 18.73 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 18.73

Volume of the cone = 4414.93cm³

Radius and slant height of a cone are 18 cm and 28 cm respectively. Find its volume.

28cm

18cm

Answer: 7280.74 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 18²

= √ 784-324 = √ 460

height (h) = 21.45 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 21.45

Volume of the cone = 7280.74cm³

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 20 cm and 30 cm respectively. Find its volume.

30cm

20cm

Answer: 9369.90 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 20²

= √ 900-400 = √ 500

height (h) = 22.36 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 22.36

Volume of the cone = 9369.90cm³