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 27 cm respectively. Find its volume.

27cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 23 cm respectively. Find its volume.

23cm

15cm

cm³

Answer:_______________

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 17 cm and 34 cm respectively. Find its volume.

34cm

17cm

cm³

Answer:_______________

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 16 cm and 29 cm respectively. Find its volume.

29cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 31 cm respectively. Find its volume.

31cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 25 cm respectively. Find its volume.

25cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 28 cm respectively. Find its volume.

28cm

17cm

cm³

Answer:_______________

10)

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 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 15 cm and 23 cm respectively. Find its volume.

23cm

15cm

Answer: 4110.86 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 15²

= √ 529-225 = √ 304

height (h) = 17.44 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 17.44

Volume of the cone = 4110.86cm³

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 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 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 16 cm and 29 cm respectively. Find its volume.

29cm

16cm

Answer: 6487.53 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 16²

= √ 841-256 = √ 585

height (h) = 24.19 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 24.19

Volume of the cone = 6487.53cm³

Radius and slant height of a cone are 17 cm and 31 cm respectively. Find its volume.

31cm

17cm

Answer: 7847.59 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 31 cm

Height (h) = √ l²-r² = √ 31²- 17²

= √ 961-289 = √ 672

height (h) = 25.92 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 25.92

Volume of the cone = 7847.59cm³

Radius and slant height of a cone are 15 cm and 25 cm respectively. Find its volume.

25cm

15cm

Answer: 4714.29 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 15²

= √ 625-225 = √ 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 15 x 15 x 20.00

Volume of the cone = 4714.29cm³

Radius and slant height of a cone are 17 cm and 28 cm respectively. Find its volume.

28cm

17cm

Answer: 6736.45 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 17²

= √ 784-289 = √ 495

height (h) = 22.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 22.25

Volume of the cone = 6736.45cm³

10)

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