The diameters of a frustum of a cone are 32 , | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given: Diameter $D_1 = 32 \,cm$,so radius $r_1 = 16 \,cm$. Diameter $D_2 = 20 \,cm$,so radius $r_2 = 10 \,cm$. Height $h = 8 \,cm$.$1$. Slant heig

Vedclass · Accepted Answer

Curved Surface Area: $816.4 \,cm^2$,Volume: $4320.64 \,cm^3$

Vedclass · Answer

(A) Given: Diameter $D_1 = 32 \,cm$,so radius $r_1 = 16 \,cm$. Diameter $D_2 = 20 \,cm$,so radius $r_2 = 10 \,cm$. Height $h = 8 \,cm$.$1$. Slant height $l = \sqrt{h^2 + (r_1 - r_2)^2} = \sqrt{8^2 + (16 - 10)^2} = \sqrt{64 + 36} = \sqrt{100} = 10 \,cm$.$2$. Curved Surface Area $(CSA)$ = $\pi(r_1 + r_2)l = 3.14 	imes (16 + 10) 	imes 10 = 3.14 	imes 26 	imes 10 = 816.4 \,cm^2$.$3$. Volume $V = \frac{1}{3}\pi h(r_1^2 + r_2^2 + r_1r_2) = \frac{1}{3} 	imes 3.14 	imes 8 	imes (16^2 + 10^2 + 16 	imes 10) = \frac{1}{3} 	imes 3.14 	imes 8 	imes (256 + 100 + 160) = \frac{1}{3} 	imes 3.14 	imes 8 	imes 516 = 3.14 	imes 8 	imes 172 = 4320.64 \,cm^3$.

The diameters of a frustum of a cone are $32 \,cm$ and $20 \,cm$. If its height is $8 \,cm$,find its curved surface area and volume. $(\pi = 3.14)$

Similar Questions

$A$ tank is in the form of a cylinder with radius $21\, cm$ closed at both the ends by hemispheres. If the total height of the tank is $62\, cm$, how many litres of water can it store? (in $liters$)

$A$ top is made by joining a hemisphere to the base of a cone. The radius and the height of the conical part are $2.8 \, cm$ and $6.4 \, cm$ respectively. Find the volume of the top in $cm^3$.

$A$ rectangular water tank of base $11 \,m \times 6 \,m$ contains water up to a height of $5 \,m$. If the water in the tank is transferred to a cylindrical tank of radius $3.5 \,m$,find the height of the water level in the tank. (in $m$)

Water flows through a cylindrical pipe,whose inner radius is $1 \,cm$,at the rate of $80 \,cm/sec$ into an empty cylindrical tank,the radius of whose base is $40 \,cm$. What is the rise of water level in the tank in half an hour? (in $cm$)

The radii of a frustum of a cone are $10 \, cm$ and $7 \, cm$. If its height is $4 \, cm$,its curved surface area is $\dots \dots \dots \pi \, cm^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module