Sasi Math (Revised for 1024)

Scroll:Mensuration >> Himisphere >> ps (4134)

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 volume of a hemisphere is 3275π cu. Find its curved surface area.

v=3275π

___cm²

Answer:_______________

The volume of a hemisphere is 3888π cu. Find its curved surface area.

v=3888π

___cm²

Answer:_______________

The volume of a hemisphere is 1465π cu. Find its curved surface area.

v=1465π

___cm²

Answer:_______________

The volume of a hemisphere is 1152π cu. Find its curved surface area.

v=1152π

___cm²

Answer:_______________

The volume of a hemisphere is 887π cu. Find its curved surface area.

v=887π

___cm²

Answer:_______________

The volume of a hemisphere is 4573π cu. Find its curved surface area.

v=4573π

___cm²

Answer:_______________

The volume of a hemisphere is 486π cu. Find its curved surface area.

v=486π

___cm²

Answer:_______________

The volume of a hemisphere is 5333π cu. Find its curved surface area.

v=5333π

___cm²

Answer:_______________

The volume of a hemisphere is 667π cu. Find its curved surface area.

v=667π

___cm²

Answer:_______________

10)

The volume of a hemisphere is 1829π cu. Find its curved surface area.

v=1829π

___cm²

Answer:_______________

The volume of a hemisphere is 3275π cu. Find its curved surface area.

v=3275π

Answer: 1816.57cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 3275π

⇒ r3 = $\frac{3275X3}{2}$ = 4912.5 = 17³

r = 17cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 17 x 17 cm²

= $\frac{44X289}{7}$ = 1816.57 cm²

Curved surface area of the hemisphere = 1816.57cm²

The volume of a hemisphere is 3888π cu. Find its curved surface area.

v=3888π

Answer: 2036.57cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 3888π

⇒ r3 = $\frac{3888X3}{2}$ = 5832 = 18³

r = 18cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 18 x 18 cm²

= $\frac{44X324}{7}$ = 2036.57 cm²

Curved surface area of the hemisphere = 2036.57cm²

The volume of a hemisphere is 1465π cu. Find its curved surface area.

v=1465π

Answer: 1062.29cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 1465π

⇒ r3 = $\frac{1465X3}{2}$ = 2197.5 = 13³

r = 13cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 13 x 13 cm²

= $\frac{44X169}{7}$ = 1062.29 cm²

Curved surface area of the hemisphere = 1062.29cm²

The volume of a hemisphere is 1152π cu. Find its curved surface area.

v=1152π

Answer: 905.14cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 1152π

⇒ r3 = $\frac{1152X3}{2}$ = 1728 = 12³

r = 12cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 12 x 12 cm²

= $\frac{44X144}{7}$ = 905.14 cm²

Curved surface area of the hemisphere = 905.14cm²

The volume of a hemisphere is 887π cu. Find its curved surface area.

v=887π

Answer: 760.57cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 887π

⇒ r3 = $\frac{887X3}{2}$ = 1330.5 = 11³

r = 11cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 11 x 11 cm²

= $\frac{44X121}{7}$ = 760.57 cm²

Curved surface area of the hemisphere = 760.57cm²

The volume of a hemisphere is 4573π cu. Find its curved surface area.

v=4573π

Answer: 2269.14cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 4573π

⇒ r3 = $\frac{4573X3}{2}$ = 6859.5 = 19³

r = 19cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 19 x 19 cm²

= $\frac{44X361}{7}$ = 2269.14 cm²

Curved surface area of the hemisphere = 2269.14cm²

The volume of a hemisphere is 486π cu. Find its curved surface area.

v=486π

Answer: 509.14cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 486π

⇒ r3 = $\frac{486X3}{2}$ = 729 = 9³

r = 9cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 9 x 9 cm²

= $\frac{44X81}{7}$ = 509.14 cm²

Curved surface area of the hemisphere = 509.14cm²

The volume of a hemisphere is 5333π cu. Find its curved surface area.

v=5333π

Answer: 2514.29cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 5333π

⇒ r3 = $\frac{5333X3}{2}$ = 7999.5 = 20³

r = 20cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 20 x 20 cm²

= $\frac{44X400}{7}$ = 2514.29 cm²

Curved surface area of the hemisphere = 2514.29cm²

The volume of a hemisphere is 667π cu. Find its curved surface area.

v=667π

Answer: 628.57cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 667π

⇒ r3 = $\frac{667X3}{2}$ = 1000.5 = 10³

r = 10cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 10 x 10 cm²

= $\frac{44X100}{7}$ = 628.57 cm²

Curved surface area of the hemisphere = 628.57cm²

10)

The volume of a hemisphere is 1829π cu. Find its curved surface area.

v=1829π

Answer: 1232.00cm²

SOLUTION 1 :

Given:

Volume of a hemisphere $\frac{2}{3}$ πr³ = 1829π

⇒ r3 = $\frac{1829X3}{2}$ = 2743.5 = 14³

r = 14cm

Curved surface area of the hemisphere = 2π r² sq.units.

= 2 x $\frac{22}{7}$ x 14 x 14 cm²

= $\frac{44X196}{7}$ = 1232.00 cm²

Curved surface area of the hemisphere = 1232.00cm²