"Isha is 10 years old girl. On the result day, Isha and her father Suresh were very happy as she got first position in the class. While coming back to their home, Isha asked for a treat from her father as a reward for her success. They went to a juice shop and asked for two glasses of juice.
Aisha, a juice seller, was serving juice to her customers in two types of glasses. Both the glasses had inner radius 3cm. The height of both the glasses was 10cm.
*Figure
First type: A Glass with hemispherical raised bottom.
*Figure
Second type: A glass with conical raised bottom of height 1.5 cm.
Isha insisted to have the juice in first type of glass and her father decided to have the juice in second type of glass. Out of the two, Isha or her father Suresh, who got more quantity of juice to drink and by how much?"
Answers
Glass with hemispherical raised bottom & with conical raised bottom , Father Suresh got 42.4 ml more Quantity of juice to Drink
Step-by-step explanation:
the glasses had inner radius 3cm. The height of both the glasses was 10cm
so volume of both glasses = π R² h
= π (3)² * 10
= 90π cm³
Isha took juice in 1st type glass with hemispherical raised bottom.
Volume of Hemisphere = (2/3)πR³
= (2/3) π (3)³
= 18π cm³
Capacity of 1st Glass = 90π - 18π = 72π cm³
Father Suresh too juice in 2nd type with conical raised bottom of height 1.5 cm.
Volume of cone = (1/3)πR²h
= (1/3) π (3)² * 1.5
= 4.5π cm³
Capacity of 2nd Glass = 90π - 4.5π =85.5π cm³
85.5π - 72π = 13.5 π cm³ = 42.4 cm³
42.4 cm³ = 42.4 ml
Father Suresh got 42.4 ml more Quantity of juice to Drink
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Answer:
Capacity of first glass = ݎߨ
− ܪଶ
ଶ
ଷ
ݎߨ
ଷ
= ߨ × 9(10 − 2) = 72ߨ݉ܿଷ
Capacity of second glass = ݎߨ
− ܪଶ
ଵ
ଷ
ݎߨ
ଶℎ
= ߨ × 3 × 3(10 − 0.5) = 85.5ߨ݉ܿଷ
∴Sureshgot more quantity of juice.