Sasi Math (Revised for 1024)

Scroll:Mensuration >> circumference of cone >> ps (4132)

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.

The circumference of the base of a 15m high wooden solid cone is 132m. Find the volume.

15m

2π r=132 m

___m³

Answer:_______________

The circumference of the base of a 24m high wooden solid cone is 88m. Find the volume.

24m

2π r=88 m

___m³

Answer:_______________

The circumference of the base of a 21m high wooden solid cone is 44m. Find the volume.

21m

2π r=44 m

___m³

Answer:_______________

The circumference of the base of a 27m high wooden solid cone is 44m. Find the volume.

27m

2π r=44 m

___m³

Answer:_______________

The circumference of the base of a 15m high wooden solid cone is 88m. Find the volume.

15m

2π r=88 m

___m³

Answer:_______________

The circumference of the base of a 18m high wooden solid cone is 44m. Find the volume.

18m

2π r=44 m

___m³

Answer:_______________

The circumference of the base of a 12m high wooden solid cone is 132m. Find the volume.

12m

2π r=132 m

___m³

Answer:_______________

The circumference of the base of a 18m high wooden solid cone is 132m. Find the volume.

18m

2π r=132 m

___m³

Answer:_______________

The circumference of the base of a 18m high wooden solid cone is 88m. Find the volume.

18m

2π r=88 m

___m³

Answer:_______________

10)

The circumference of the base of a 30m high wooden solid cone is 44m. Find the volume.

30m

2π r=44 m

___m³

Answer:_______________

The circumference of the base of a 15m high wooden solid cone is 132m. Find the volume.

15m

2π r=132 m

Answer: 6930m³

SOLUTION 1 :

Given:

Height (h) = 15m

Circumference of cone = 132m

⇒ 2π r = 132m ⇒ 2 x $\frac{22}{7}$ x r = 132m

⇒ r = (132x7)/(2x22) = $\frac{924}{44}$

⇒ r = 21

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 15 = 6930m³

Volume of cone = 6930m³

The circumference of the base of a 24m high wooden solid cone is 88m. Find the volume.

24m

2π r=88 m

Answer: 4928m³

SOLUTION 1 :

Given:

Height (h) = 24m

Circumference of cone = 88m

⇒ 2π r = 88m ⇒ 2 x $\frac{22}{7}$ x r = 88m

⇒ r = (88x7)/(2x22) = $\frac{616}{44}$

⇒ r = 14

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 24 = 4928m³

Volume of cone = 4928m³

The circumference of the base of a 21m high wooden solid cone is 44m. Find the volume.

21m

2π r=44 m

Answer: 1078m³

SOLUTION 1 :

Given:

Height (h) = 21m

Circumference of cone = 44m

⇒ 2π r = 44m ⇒ 2 x $\frac{22}{7}$ x r = 44m

⇒ r = (44x7)/(2x22) = $\frac{308}{44}$

⇒ r = 7

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 7 x 7 x 21 = 1078m³

Volume of cone = 1078m³

The circumference of the base of a 27m high wooden solid cone is 44m. Find the volume.

27m

2π r=44 m

Answer: 1386m³

SOLUTION 1 :

Given:

Height (h) = 27m

Circumference of cone = 44m

⇒ 2π r = 44m ⇒ 2 x $\frac{22}{7}$ x r = 44m

⇒ r = (44x7)/(2x22) = $\frac{308}{44}$

⇒ r = 7

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 7 x 7 x 27 = 1386m³

Volume of cone = 1386m³

The circumference of the base of a 15m high wooden solid cone is 88m. Find the volume.

15m

2π r=88 m

Answer: 3080m³

SOLUTION 1 :

Given:

Height (h) = 15m

Circumference of cone = 88m

⇒ 2π r = 88m ⇒ 2 x $\frac{22}{7}$ x r = 88m

⇒ r = (88x7)/(2x22) = $\frac{616}{44}$

⇒ r = 14

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 15 = 3080m³

Volume of cone = 3080m³

The circumference of the base of a 18m high wooden solid cone is 44m. Find the volume.

18m

2π r=44 m

Answer: 924m³

SOLUTION 1 :

Given:

Height (h) = 18m

Circumference of cone = 44m

⇒ 2π r = 44m ⇒ 2 x $\frac{22}{7}$ x r = 44m

⇒ r = (44x7)/(2x22) = $\frac{308}{44}$

⇒ r = 7

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 7 x 7 x 18 = 924m³

Volume of cone = 924m³

The circumference of the base of a 12m high wooden solid cone is 132m. Find the volume.

12m

2π r=132 m

Answer: 5544m³

SOLUTION 1 :

Given:

Height (h) = 12m

Circumference of cone = 132m

⇒ 2π r = 132m ⇒ 2 x $\frac{22}{7}$ x r = 132m

⇒ r = (132x7)/(2x22) = $\frac{924}{44}$

⇒ r = 21

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 12 = 5544m³

Volume of cone = 5544m³

The circumference of the base of a 18m high wooden solid cone is 132m. Find the volume.

18m

2π r=132 m

Answer: 8316m³

SOLUTION 1 :

Given:

Height (h) = 18m

Circumference of cone = 132m

⇒ 2π r = 132m ⇒ 2 x $\frac{22}{7}$ x r = 132m

⇒ r = (132x7)/(2x22) = $\frac{924}{44}$

⇒ r = 21

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 21 x 21 x 18 = 8316m³

Volume of cone = 8316m³

The circumference of the base of a 18m high wooden solid cone is 88m. Find the volume.

18m

2π r=88 m

Answer: 3696m³

SOLUTION 1 :

Given:

Height (h) = 18m

Circumference of cone = 88m

⇒ 2π r = 88m ⇒ 2 x $\frac{22}{7}$ x r = 88m

⇒ r = (88x7)/(2x22) = $\frac{616}{44}$

⇒ r = 14

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 14 x 14 x 18 = 3696m³

Volume of cone = 3696m³

10)

The circumference of the base of a 30m high wooden solid cone is 44m. Find the volume.

30m

2π r=44 m

Answer: 1540m³

SOLUTION 1 :

Given:

Height (h) = 30m

Circumference of cone = 44m

⇒ 2π r = 44m ⇒ 2 x $\frac{22}{7}$ x r = 44m

⇒ r = (44x7)/(2x22) = $\frac{308}{44}$

⇒ r = 7

Volume of cone = $\frac{1}{3}$ πr²h cubic units

= $\frac{1}{3}$ x $\frac{22}{7}$ x 7 x 7 x 30 = 1540m³

Volume of cone = 1540m³