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 13 cm and 30 cm respectively. Find its volume.

30cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 29 cm respectively. Find its volume.

29cm

12cm

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 22 cm and 22 cm respectively. Find its volume.

22cm

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 12 cm and 34 cm respectively. Find its volume.

34cm

12cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 32 cm respectively. Find its volume.

32cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 14 cm and 27 cm respectively. Find its volume.

27cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 22 cm respectively. Find its volume.

22cm

18cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 20 cm and 27 cm respectively. Find its volume.

27cm

20cm

cm³

Answer:_______________

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 12 cm and 29 cm respectively. Find its volume.

29cm

12cm

Answer: 3982.63 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 12²

= √ 841-144 = √ 697

height (h) = 26.40 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 26.40

Volume of the cone = 3982.63cm³

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 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 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 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 15 cm and 32 cm respectively. Find its volume.

32cm

15cm

Answer: 6663.64 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 15²

= √ 1024-225 = √ 799

height (h) = 28.27 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 28.27

Volume of the cone = 6663.64cm³

Radius and slant height of a cone are 14 cm and 27 cm respectively. Find its volume.

27cm

14cm

Answer: 4741.15 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 14²

= √ 729-196 = √ 533

height (h) = 23.09 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 23.09

Volume of the cone = 4741.15cm³

Radius and slant height of a cone are 18 cm and 22 cm respectively. Find its volume.

22cm

18cm

Answer: 4293.77 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 18²

= √ 484-324 = √ 160

height (h) = 12.65 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 12.65

Volume of the cone = 4293.77cm³

10)

Radius and slant height of a cone are 20 cm and 27 cm respectively. Find its volume.

27cm

20cm

Answer: 7601.52 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 20²

= √ 729-400 = √ 329

height (h) = 18.14 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 18.14

Volume of the cone = 7601.52cm³