Choose the correct answer in each of the following :

The volume of a cone is 1570 $c m^{3}$ and its height is 15 cm. What is the radius of the cone ? $(U s e π = 3.14.)$

(a) 10cm (b) 9 cm (c) 12 cm (d) 8.5 cm

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Solution

ANSWER:
(a) 10 cm

Volume of the cone = $\frac{1}{3} π r^{2} h$
Let r cm be the radius of the cone.
Volume =1570 $c m^{3}$
Then= $\frac{1}{3} \times 3.14 \times r^{2} \times 15 = 1570 c m^{3}$
$\Rightarrow r^{2} = \frac{1570}{3.14 \times 5} = 100 \Rightarrow r = 10 c m$

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Choose the correct answer in each of the following : The volume of a cone is 1570 cm3 and its height is 15 cm. What is the radius of the cone ?(Use π=3.14.) (a) 10cm (b) 9 cm (c) 12 cm (d) 8.5 cm

ANSWER: (a) 10 cm Volume of the cone = 13πr2h Let r cm be the radius of the cone. Volume =1570 cm3 Then= 13 × 3.14 × r2 × 15 =1570cm3 ⇒r2=15703.14 × 5 = 100 ⇒ r = 10cm

Choose the correct answer in each of the following :

The volume of a cone is 1570 $c m^{3}$ and its height is 15 cm. What is the radius of the cone ? $(U s e π = 3.14.)$

(a) 10cm (b) 9 cm (c) 12 cm (d) 8.5 cm

ANSWER:
(a) 10 cm

Volume of the cone = $\frac{1}{3} π r^{2} h$
Let r cm be the radius of the cone.
Volume =1570 $c m^{3}$
Then= $\frac{1}{3} \times 3.14 \times r^{2} \times 15 = 1570 c m^{3}$
$\Rightarrow r^{2} = \frac{1570}{3.14 \times 5} = 100 \Rightarrow r = 10 c m$