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 16 cm and 23 cm respectively. Find its volume.

23cm

16cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 32 cm respectively. Find its volume.

32cm

12cm

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 15 cm and 25 cm respectively. Find its volume.

25cm

15cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 32 cm respectively. Find its volume.

32cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 21 cm and 26 cm respectively. Find its volume.

26cm

21cm

cm³

Answer:_______________

Radius and slant height of a cone are 11 cm and 27 cm respectively. Find its volume.

27cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 18 cm and 25 cm respectively. Find its volume.

25cm

18cm

cm³

Answer:_______________

Radius and slant height of a cone are 12 cm and 23 cm respectively. Find its volume.

23cm

12cm

cm³

Answer:_______________

10)

Radius and slant height of a cone are 11 cm and 29 cm respectively. Find its volume.

29cm

11cm

cm³

Answer:_______________

Radius and slant height of a cone are 16 cm and 23 cm respectively. Find its volume.

23cm

16cm

Answer: 4430.51 cm³

SOLUTION 1 :

Given:

Rarius (r) = 16 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 16²

= √ 529-256 = √ 273

height (h) = 16.52 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 16 x 16 x 16.52

Volume of the cone = 4430.51cm³

Radius and slant height of a cone are 12 cm and 32 cm respectively. Find its volume.

32cm

12cm

Answer: 4474.42 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 12²

= √ 1024-144 = √ 880

height (h) = 29.66 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 29.66

Volume of the cone = 4474.42cm³

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 15 cm and 25 cm respectively. Find its volume.

25cm

15cm

Answer: 4714.29 cm³

SOLUTION 1 :

Given:

Rarius (r) = 15 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 15²

= √ 625-225 = √ 400

height (h) = 20.00 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 15 x 15 x 20.00

Volume of the cone = 4714.29cm³

Radius and slant height of a cone are 21 cm and 32 cm respectively. Find its volume.

32cm

21cm

Answer: 11157.30 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 32 cm

Height (h) = √ l²-r² = √ 32²- 21²

= √ 1024-441 = √ 583

height (h) = 24.15 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 24.15

Volume of the cone = 11157.30cm³

Radius and slant height of a cone are 21 cm and 26 cm respectively. Find its volume.

26cm

21cm

Answer: 7082.46 cm³

SOLUTION 1 :

Given:

Rarius (r) = 21 cm

slant height ( l ) = 26 cm

Height (h) = √ l²-r² = √ 26²- 21²

= √ 676-441 = √ 235

height (h) = 15.33 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 15.33

Volume of the cone = 7082.46cm³

Radius and slant height of a cone are 11 cm and 27 cm respectively. Find its volume.

27cm

11cm

Answer: 3125.95 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 27 cm

Height (h) = √ l²-r² = √ 27²- 11²

= √ 729-121 = √ 608

height (h) = 24.66 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 24.66

Volume of the cone = 3125.95cm³

Radius and slant height of a cone are 18 cm and 25 cm respectively. Find its volume.

25cm

18cm

Answer: 5889.09 cm³

SOLUTION 1 :

Given:

Rarius (r) = 18 cm

slant height ( l ) = 25 cm

Height (h) = √ l²-r² = √ 25²- 18²

= √ 625-324 = √ 301

height (h) = 17.35 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 18 x 18 x 17.35

Volume of the cone = 5889.09cm³

Radius and slant height of a cone are 12 cm and 23 cm respectively. Find its volume.

23cm

12cm

Answer: 2959.82 cm³

SOLUTION 1 :

Given:

Rarius (r) = 12 cm

slant height ( l ) = 23 cm

Height (h) = √ l²-r² = √ 23²- 12²

= √ 529-144 = √ 385

height (h) = 19.62 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 12 x 12 x 19.62

Volume of the cone = 2959.82cm³

10)

Radius and slant height of a cone are 11 cm and 29 cm respectively. Find its volume.

29cm

11cm

Answer: 3401.02 cm³

SOLUTION 1 :

Given:

Rarius (r) = 11 cm

slant height ( l ) = 29 cm

Height (h) = √ l²-r² = √ 29²- 11²

= √ 841-121 = √ 720

height (h) = 26.83 cm

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

$\frac{1}{3}$ x $\frac{22}{7}$ x 11 x 11 x 26.83

Volume of the cone = 3401.02cm³