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 13 cm and 29 cm respectively. Find its volume.

29cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.

29cm

20cm

cm³

Answer:_______________

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

29cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 33 cm respectively. Find its volume.

33cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 20 cm and 28 cm respectively. Find its volume.

28cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 27 cm respectively. Find its volume.

27cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 24 cm respectively. Find its volume.

24cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 35 cm respectively. Find its volume.

35cm

19cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 27 cm respectively. Find its volume.

27cm

13cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 16 cm and 35 cm respectively. Find its volume.

35cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 29 cm respectively. Find its volume.

29cm

13cm

Answer: 4589.07 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 13²

= √ 841-169 = √ 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 13 x 13 x 25.92

Volume of the cone = 4589.07cm³

Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.

29cm

20cm

Answer: 8800.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 20²

= √ 841-400 = √ 441

height (h) = 21.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 21.00

Volume of the cone = 8800.00cm³

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

Radius and slant height of a cone are 20 cm and 33 cm respectively. Find its volume.

33cm

20cm

Answer: 11000.00 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 20²

= √ 1089-400 = √ 689

height (h) = 26.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 26.25

Volume of the cone = 11000.00cm³

Radius and slant height of a cone are 20 cm and 28 cm respectively. Find its volume.

28cm

20cm

Answer: 8213.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 20²

= √ 784-400 = √ 384

height (h) = 19.60 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 19.60

Volume of the cone = 8213.33cm³

Radius and slant height of a cone are 16 cm and 27 cm respectively. Find its volume.

27cm

16cm

Answer: 5833.14 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 16²

= √ 729-256 = √ 473

height (h) = 21.75 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 21.75

Volume of the cone = 5833.14cm³

Radius and slant height of a cone are 11 cm and 24 cm respectively. Find its volume.

24cm

11cm

Answer: 2703.83 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 24 cm

Height (h) = √ l²-r² = √ 24²- 11²

= √ 576-121 = √ 455

height (h) = 21.33 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 21.33

Volume of the cone = 2703.83cm³

Radius and slant height of a cone are 19 cm and 35 cm respectively. Find its volume.

35cm

19cm

Answer: 11115.02 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 19²

= √ 1225-361 = √ 864

height (h) = 29.39 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 29.39

Volume of the cone = 11115.02cm³

Radius and slant height of a cone are 13 cm and 27 cm respectively. Find its volume.

27cm

13cm

Answer: 4188.95 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 13²

= √ 729-169 = √ 560

height (h) = 23.66 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 23.66

Volume of the cone = 4188.95cm³

10)

Radius and slant height of a cone are 16 cm and 35 cm respectively. Find its volume.

35cm

16cm

Answer: 8348.77 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 35 cm

Height (h) = √ l²-r² = √ 35²- 16²

= √ 1225-256 = √ 969

height (h) = 31.13 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 31.13

Volume of the cone = 8348.77cm³