Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 9826 cm³ . Find the perimeter of the rectangle if its length is 125% more than its breath. (Take π = 3)Solution
Let, the radius of the hemisphere be ‘r’ cm. So according to question: 2/3 × 3 × r3 = 9826 r3 = 4913 r = 17 So, the total surface area of the hemisphere = 3 × π × 17² = 3 × 3 × 17² = 2601 cm² Let the breadth of the rectangle be ‘x’ cm So the length of the rectangle = 2.25x cm According to question: x × 2.25x = 2601 x² = 1156 x = 34 So the breadth of the rectangle = 34 cm Length of the rectangle = 34 × 2.25 = 76.5 cm So the perimeter of the rectangle = 2 × (76.5 + 34) = 221 cm
Which chemical causes Finger leaf disease in cotton?
Vascular bundle in plants in composed of
Which of the following mycoherbicide is used to control dodder?
Amino acid which is deficient in sorghum?
Which of the following is the aim of Agricultural Marketing Intelligence?
Quiescent centre is found in plants at
Group thinking has a danger of ......................?
Organophosphate and carbamate insecticides primarily disrupt which system within an insect’s body?
Which fruit is richest source of Riboflavin?
Which of the following is a common pre-emergence herbicide applied to control annual weeds in wheat, primarily targeting grassy species?