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 32 cm respectively. Find its volume.

32cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 26 cm respectively. Find its volume.

26cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 14 cm and 29 cm respectively. Find its volume.

29cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 26 cm respectively. Find its volume.

26cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 34 cm respectively. Find its volume.

34cm

21cm

cm³

Answer:_______________

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 16 cm and 26 cm respectively. Find its volume.

26cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 34 cm respectively. Find its volume.

34cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 30 cm respectively. Find its volume.

30cm

21cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 13 cm and 22 cm respectively. Find its volume.

22cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 32 cm respectively. Find its volume.

32cm

11cm

Answer: 3809.20 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 11²

= √ 1024-121 = √ 903

height (h) = 30.05 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 30.05

Volume of the cone = 3809.20cm³

Radius and slant height of a cone are 17 cm and 26 cm respectively. Find its volume.

26cm

17cm

Answer: 5955.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 17²

= √ 676-289 = √ 387

height (h) = 19.67 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 19.67

Volume of the cone = 5955.33cm³

Radius and slant height of a cone are 14 cm and 29 cm respectively. Find its volume.

29cm

14cm

Answer: 5215.47 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 14²

= √ 841-196 = √ 645

height (h) = 25.40 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 25.40

Volume of the cone = 5215.47cm³

Radius and slant height of a cone are 18 cm and 26 cm respectively. Find its volume.

26cm

18cm

Answer: 6367.68 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 18²

= √ 676-324 = √ 352

height (h) = 18.76 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 18.76

Volume of the cone = 6367.68cm³

Radius and slant height of a cone are 21 cm and 34 cm respectively. Find its volume.

34cm

21cm

Answer: 12353.88 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 21²

= √ 1156-441 = √ 715

height (h) = 26.74 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 26.74

Volume of the cone = 12353.88cm³

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 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 34 cm respectively. Find its volume.

34cm

18cm

Answer: 9789.12 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 18²

= √ 1156-324 = √ 832

height (h) = 28.84 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 28.84

Volume of the cone = 9789.12cm³

Radius and slant height of a cone are 21 cm and 30 cm respectively. Find its volume.

30cm

21cm

Answer: 9896.04 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 30 cm

Height (h) = √ l²-r² = √ 30²- 21²

= √ 900-441 = √ 459

height (h) = 21.42 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 21.42

Volume of the cone = 9896.04cm³

10)

Radius and slant height of a cone are 13 cm and 22 cm respectively. Find its volume.

22cm

13cm

Answer: 3142.60 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 22 cm

Height (h) = √ l²-r² = √ 22²- 13²

= √ 484-169 = √ 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 13 x 13 x 17.75

Volume of the cone = 3142.60cm³