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 29 cm respectively. Find its volume.

29cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 27 cm respectively. Find its volume.

27cm

19cm

cm³

Answer:_______________

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

22cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 33 cm respectively. Find its volume.

33cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 34 cm respectively. Find its volume.

34cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 31 cm respectively. Find its volume.

31cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 26 cm respectively. Find its volume.

26cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 28 cm respectively. Find its volume.

28cm

11cm

cm³

Answer:_______________

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

30cm

13cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 20 cm and 28 cm respectively. Find its volume.

28cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 29 cm respectively. Find its volume.

29cm

21cm

Answer: 9240.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 21²

= √ 841-441 = √ 400

height (h) = 20.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 20.00

Volume of the cone = 9240.00cm³

Radius and slant height of a cone are 19 cm and 27 cm respectively. Find its volume.

27cm

19cm

Answer: 7253.69 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 19²

= √ 729-361 = √ 368

height (h) = 19.18 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 19.18

Volume of the cone = 7253.69cm³

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

Radius and slant height of a cone are 16 cm and 33 cm respectively. Find its volume.

33cm

16cm

Answer: 7739.98 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 16²

= √ 1089-256 = √ 833

height (h) = 28.86 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 28.86

Volume of the cone = 7739.98cm³

Radius and slant height of a cone are 13 cm and 34 cm respectively. Find its volume.

34cm

13cm

Answer: 5562.84 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 13²

= √ 1156-169 = √ 987

height (h) = 31.42 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 31.42

Volume of the cone = 5562.84cm³

Radius and slant height of a cone are 21 cm and 31 cm respectively. Find its volume.

31cm

21cm

Answer: 10533.60 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 31 cm

Height (h) = √ l²-r² = √ 31²- 21²

= √ 961-441 = √ 520

height (h) = 22.80 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 22.80

Volume of the cone = 10533.60cm³

Radius and slant height of a cone are 21 cm and 26 cm respectively. Find its volume.

26cm

21cm

Answer: 7082.46 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 21²

= √ 676-441 = √ 235

height (h) = 15.33 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 15.33

Volume of the cone = 7082.46cm³

Radius and slant height of a cone are 11 cm and 28 cm respectively. Find its volume.

28cm

11cm

Answer: 3264.12 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 11²

= √ 784-121 = √ 663

height (h) = 25.75 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 25.75

Volume of the cone = 3264.12cm³

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

10)

Radius and slant height of a cone are 20 cm and 28 cm respectively. Find its volume.

28cm

20cm

Answer: 8213.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 20²

= √ 784-400 = √ 384

height (h) = 19.60 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 19.60

Volume of the cone = 8213.33cm³