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 11 cm and 34 cm respectively. Find its volume.

34cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 30 cm respectively. Find its volume.

30cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume.

26cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 28 cm respectively. Find its volume.

28cm

19cm

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 12 cm and 30 cm respectively. Find its volume.

30cm

12cm

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 11 cm and 35 cm respectively. Find its volume.

35cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 22 cm and 27 cm respectively. Find its volume.

27cm

22cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 12 cm and 33 cm respectively. Find its volume.

33cm

12cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 34 cm respectively. Find its volume.

34cm

11cm

Answer: 4077.93 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 11²

= √ 1156-121 = √ 1035

height (h) = 32.17 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 32.17

Volume of the cone = 4077.93cm³

Radius and slant height of a cone are 19 cm and 30 cm respectively. Find its volume.

30cm

19cm

Answer: 8781.58 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 19²

= √ 900-361 = √ 539

height (h) = 23.22 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 23.22

Volume of the cone = 8781.58cm³

Radius and slant height of a cone are 19 cm and 26 cm respectively. Find its volume.

26cm

19cm

Answer: 6712.88 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 19²

= √ 676-361 = √ 315

height (h) = 17.75 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 17.75

Volume of the cone = 6712.88cm³

Radius and slant height of a cone are 19 cm and 28 cm respectively. Find its volume.

28cm

19cm

Answer: 7779.38 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 19²

= √ 784-361 = √ 423

height (h) = 20.57 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 20.57

Volume of the cone = 7779.38cm³

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 12 cm and 30 cm respectively. Find its volume.

30cm

12cm

Answer: 4148.57 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 12²

= √ 900-144 = √ 756

height (h) = 27.50 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 27.50

Volume of the cone = 4148.57cm³

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 11 cm and 35 cm respectively. Find its volume.

35cm

11cm

Answer: 4212.30 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 11²

= √ 1225-121 = √ 1104

height (h) = 33.23 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 33.23

Volume of the cone = 4212.30cm³

Radius and slant height of a cone are 22 cm and 27 cm respectively. Find its volume.

27cm

22cm

Answer: 7935.30 cm³

SOLUTION 1 :

Given:

Rarius (r) = 22 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 22²

= √ 729-484 = √ 245

height (h) = 15.65 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 22 x 22 x 15.65

Volume of the cone = 7935.30cm³

10)

Radius and slant height of a cone are 12 cm and 33 cm respectively. Find its volume.

33cm

12cm

Answer: 4637.35 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 12²

= √ 1089-144 = √ 945

height (h) = 30.74 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 30.74

Volume of the cone = 4637.35cm³