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 21 cm and 25 cm respectively. Find its volume.

25cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 22 cm respectively. Find its volume.

22cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 22 cm respectively. Find its volume.

22cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 25 cm respectively. Find its volume.

25cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 27 cm respectively. Find its volume.

27cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 30 cm respectively. Find its volume.

30cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 25 cm respectively. Find its volume.

25cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 26 cm respectively. Find its volume.

26cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 30 cm respectively. Find its volume.

30cm

18cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 16 cm and 27 cm respectively. Find its volume.

27cm

16cm

cm³

Answer:_______________

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 19 cm and 22 cm respectively. Find its volume.

22cm

19cm

Answer: 4194.13 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 19²

= √ 484-361 = √ 123

height (h) = 11.09 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 11.09

Volume of the cone = 4194.13cm³

Radius and slant height of a cone are 20 cm and 22 cm respectively. Find its volume.

22cm

20cm

Answer: 3842.67 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 20²

= √ 484-400 = √ 84

height (h) = 9.17 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 9.17

Volume of the cone = 3842.67cm³

Radius and slant height of a cone are 19 cm and 25 cm respectively. Find its volume.

25cm

19cm

Answer: 6145.60 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 19²

= √ 625-361 = √ 264

height (h) = 16.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 16.25

Volume of the cone = 6145.60cm³

Radius and slant height of a cone are 15 cm and 27 cm respectively. Find its volume.

27cm

15cm

Answer: 5291.79 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 15²

= √ 729-225 = √ 504

height (h) = 22.45 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 22.45

Volume of the cone = 5291.79cm³

Radius and slant height of a cone are 13 cm and 30 cm respectively. Find its volume.

30cm

13cm

Answer: 4787.37 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 13²

= √ 900-169 = √ 731

height (h) = 27.04 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 27.04

Volume of the cone = 4787.37cm³

Radius and slant height of a cone are 18 cm and 25 cm respectively. Find its volume.

25cm

18cm

Answer: 5889.09 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 18²

= √ 625-324 = √ 301

height (h) = 17.35 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 17.35

Volume of the cone = 5889.09cm³

Radius and slant height of a cone are 15 cm and 26 cm respectively. Find its volume.

26cm

15cm

Answer: 5006.57 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 15²

= √ 676-225 = √ 451

height (h) = 21.24 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 21.24

Volume of the cone = 5006.57cm³

Radius and slant height of a cone are 18 cm and 30 cm respectively. Find its volume.

30cm

18cm

Answer: 8146.29 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 18²

= √ 900-324 = √ 576

height (h) = 24.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 24.00

Volume of the cone = 8146.29cm³

10)

Radius and slant height of a cone are 16 cm and 27 cm respectively. Find its volume.

27cm

16cm

Answer: 5833.14 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 16²

= √ 729-256 = √ 473

height (h) = 21.75 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 21.75

Volume of the cone = 5833.14cm³