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 20 cm and 26 cm respectively. Find its volume.

26cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 22 cm and 30 cm respectively. Find its volume.

30cm

22cm

cm³

Answer:_______________

Radius and slant height of a cone are 15 cm and 28 cm respectively. Find its volume.

28cm

15cm

cm³

Answer:_______________

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 18 cm and 23 cm respectively. Find its volume.

23cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 23 cm respectively. Find its volume.

23cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 34 cm respectively. Find its volume.

34cm

16cm

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 11 cm and 28 cm respectively. Find its volume.

28cm

11cm

cm³

Answer:_______________

10)

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 20 cm and 26 cm respectively. Find its volume.

26cm

20cm

Answer: 6960.38 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 20²

= √ 676-400 = √ 276

height (h) = 16.61 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 16.61

Volume of the cone = 6960.38cm³

Radius and slant height of a cone are 22 cm and 30 cm respectively. Find its volume.

30cm

22cm

Answer: 10343.77 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 22²

= √ 900-484 = √ 416

height (h) = 20.40 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 20.40

Volume of the cone = 10343.77cm³

Radius and slant height of a cone are 15 cm and 28 cm respectively. Find its volume.

28cm

15cm

Answer: 5572.29 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 15²

= √ 784-225 = √ 559

height (h) = 23.64 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 23.64

Volume of the cone = 5572.29cm³

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 18 cm and 23 cm respectively. Find its volume.

23cm

18cm

Answer: 4860.62 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 18²

= √ 529-324 = √ 205

height (h) = 14.32 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 14.32

Volume of the cone = 4860.62cm³

Radius and slant height of a cone are 17 cm and 23 cm respectively. Find its volume.

23cm

17cm

Answer: 4689.78 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 17²

= √ 529-289 = √ 240

height (h) = 15.49 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 15.49

Volume of the cone = 4689.78cm³

Radius and slant height of a cone are 16 cm and 34 cm respectively. Find its volume.

34cm

16cm

Answer: 8045.71 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 16²

= √ 1156-256 = √ 900

height (h) = 30.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 30.00

Volume of the cone = 8045.71cm³

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 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

10)

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