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 17 cm and 26 cm respectively. Find its volume.

26cm

17cm

cm³

Answer:_______________

Radius and slant height of a cone are 13 cm and 33 cm respectively. Find its volume.

33cm

13cm

cm³

Answer:_______________

Radius and slant height of a cone are 14 cm and 28 cm respectively. Find its volume.

28cm

14cm

cm³

Answer:_______________

Radius and slant height of a cone are 17 cm and 28 cm respectively. Find its volume.

28cm

17cm

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 15 cm and 26 cm respectively. Find its volume.

26cm

15cm

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 20 cm and 31 cm respectively. Find its volume.

31cm

20cm

cm³

Answer:_______________

Radius and slant height of a cone are 19 cm and 34 cm respectively. Find its volume.

34cm

19cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 19 cm and 25 cm respectively. Find its volume.

25cm

19cm

cm³

Answer:_______________

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 13 cm and 33 cm respectively. Find its volume.

33cm

13cm

Answer: 5369.85 cm³

SOLUTION 1 :

Given:

Rarius (r) = 13 cm

slant height ( l ) = 33 cm

Height (h) = √ l²-r² = √ 33²- 13²

= √ 1089-169 = √ 920

height (h) = 30.33 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 13 x 13 x 30.33

Volume of the cone = 5369.85cm³

Radius and slant height of a cone are 14 cm and 28 cm respectively. Find its volume.

28cm

14cm

Answer: 4979.33 cm³

SOLUTION 1 :

Given:

Rarius (r) = 14 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 14²

= √ 784-196 = √ 588

height (h) = 24.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 24.25

Volume of the cone = 4979.33cm³

Radius and slant height of a cone are 17 cm and 28 cm respectively. Find its volume.

28cm

17cm

Answer: 6736.45 cm³

SOLUTION 1 :

Given:

Rarius (r) = 17 cm

slant height ( l ) = 28 cm

Height (h) = √ l²-r² = √ 28²- 17²

= √ 784-289 = √ 495

height (h) = 22.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 17 x 17 x 22.25

Volume of the cone = 6736.45cm³

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 15 cm and 26 cm respectively. Find its volume.

26cm

15cm

Answer: 5006.57 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 15²

= √ 676-225 = √ 451

height (h) = 21.24 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 21.24

Volume of the cone = 5006.57cm³

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 20 cm and 31 cm respectively. Find its volume.

31cm

20cm

Answer: 9927.24 cm³

SOLUTION 1 :

Given:

Rarius (r) = 20 cm

slant height ( l ) = 31 cm

Height (h) = √ l²-r² = √ 31²- 20²

= √ 961-400 = √ 561

height (h) = 23.69 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 20 x 20 x 23.69

Volume of the cone = 9927.24cm³

Radius and slant height of a cone are 19 cm and 34 cm respectively. Find its volume.

34cm

19cm

Answer: 10664.97 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 34 cm

Height (h) = √ l²-r² = √ 34²- 19²

= √ 1156-361 = √ 795

height (h) = 28.20 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 28.20

Volume of the cone = 10664.97cm³

10)

Radius and slant height of a cone are 19 cm and 25 cm respectively. Find its volume.

25cm

19cm

Answer: 6145.60 cm³

SOLUTION 1 :

Given:

Rarius (r) = 19 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 19²

= √ 625-361 = √ 264

height (h) = 16.25 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 19 x 19 x 16.25

Volume of the cone = 6145.60cm³