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 22 cm and 32 cm respectively. Find its volume.

32cm

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 34 cm respectively. Find its volume.

34cm

18cm

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 14 cm and 22 cm respectively. Find its volume.

22cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 24 cm respectively. Find its volume.

24cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 34 cm respectively. Find its volume.

34cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 33 cm respectively. Find its volume.

33cm

20cm

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 11 cm and 33 cm respectively. Find its volume.

33cm

11cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 22 cm and 25 cm respectively. Find its volume.

25cm

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 22 cm and 32 cm respectively. Find its volume.

32cm

22cm

Answer: 11783.79 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 22²

= √ 1024-484 = √ 540

height (h) = 23.24 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 23.24

Volume of the cone = 11783.79cm³

Radius and slant height of a cone are 18 cm and 34 cm respectively. Find its volume.

34cm

18cm

Answer: 9789.12 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 18²

= √ 1156-324 = √ 832

height (h) = 28.84 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 28.84

Volume of the cone = 9789.12cm³

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 14 cm and 22 cm respectively. Find its volume.

22cm

14cm

Answer: 3484.51 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 14²

= √ 484-196 = √ 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 14 x 14 x 16.97

Volume of the cone = 3484.51cm³

Radius and slant height of a cone are 19 cm and 24 cm respectively. Find its volume.

24cm

19cm

Answer: 5544.27 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 19²

= √ 576-361 = √ 215

height (h) = 14.66 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 14.66

Volume of the cone = 5544.27cm³

Radius and slant height of a cone are 17 cm and 34 cm respectively. Find its volume.

34cm

17cm

Answer: 8913.31 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 17²

= √ 1156-289 = √ 867

height (h) = 29.44 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 29.44

Volume of the cone = 8913.31cm³

Radius and slant height of a cone are 20 cm and 33 cm respectively. Find its volume.

33cm

20cm

Answer: 11000.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 20²

= √ 1089-400 = √ 689

height (h) = 26.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 26.25

Volume of the cone = 11000.00cm³

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 11 cm and 33 cm respectively. Find its volume.

33cm

11cm

Answer: 3943.56 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 11²

= √ 1089-121 = √ 968

height (h) = 31.11 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 31.11

Volume of the cone = 3943.56cm³

10)

Radius and slant height of a cone are 22 cm and 25 cm respectively. Find its volume.

25cm

22cm

Answer: 6018.66 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 22²

= √ 625-484 = √ 141

height (h) = 11.87 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 11.87

Volume of the cone = 6018.66cm³