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 32 cm respectively. Find its volume.

32cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 26 cm respectively. Find its volume.

26cm

16cm

cm³

Answer:_______________

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

30cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 35 cm respectively. Find its volume.

35cm

12cm

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 14 cm and 23 cm respectively. Find its volume.

23cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 34 cm respectively. Find its volume.

34cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 22 cm respectively. Find its volume.

22cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 29 cm respectively. Find its volume.

29cm

17cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 22 cm and 26 cm respectively. Find its volume.

26cm

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 32 cm respectively. Find its volume.

32cm

21cm

Answer: 11157.30 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 21²

= √ 1024-441 = √ 583

height (h) = 24.15 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 24.15

Volume of the cone = 11157.30cm³

Radius and slant height of a cone are 16 cm and 26 cm respectively. Find its volume.

26cm

16cm

Answer: 5495.22 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 16²

= √ 676-256 = √ 420

height (h) = 20.49 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 20.49

Volume of the cone = 5495.22cm³

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

Radius and slant height of a cone are 12 cm and 35 cm respectively. Find its volume.

35cm

12cm

Answer: 4960.18 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 12²

= √ 1225-144 = √ 1081

height (h) = 32.88 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 32.88

Volume of the cone = 4960.18cm³

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 14 cm and 23 cm respectively. Find its volume.

23cm

14cm

Answer: 3747.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 14²

= √ 529-196 = √ 333

height (h) = 18.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 18.25

Volume of the cone = 3747.33cm³

Radius and slant height of a cone are 15 cm and 34 cm respectively. Find its volume.

34cm

15cm

Answer: 7191.64 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 15²

= √ 1156-225 = √ 931

height (h) = 30.51 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 30.51

Volume of the cone = 7191.64cm³

Radius and slant height of a cone are 16 cm and 22 cm respectively. Find its volume.

22cm

16cm

Answer: 4049.68 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 16²

= √ 484-256 = √ 228

height (h) = 15.10 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 15.10

Volume of the cone = 4049.68cm³

Radius and slant height of a cone are 17 cm and 29 cm respectively. Find its volume.

29cm

17cm

Answer: 7111.88 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 17²

= √ 841-289 = √ 552

height (h) = 23.49 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 23.49

Volume of the cone = 7111.88cm³

10)

Radius and slant height of a cone are 22 cm and 26 cm respectively. Find its volume.

26cm

22cm

Answer: 7027.68 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 22²

= √ 676-484 = √ 192

height (h) = 13.86 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 13.86

Volume of the cone = 7027.68cm³